spimlify 4x-(2-3x)-5

Question

Simplify i do not understand this and i need help

Answer 1

4x-(2-3x)-5

We want to group the like terms, i.e. x with x and numbers with numbers

To do this we have to remove that bracket know in computer as a firewall.

Notice the sign before the bracket is (-). This is important to note

In removing the brackets the sign before the numbers or alphabet  in the bracket will change.

If you had  - sign  it will become a + sign

Here we go

4x-(2-3x)-5

4x - 2 + 3x - 5

Notice +2 became -2 and -3 became + 3 when the bracket (or fence) was removed.

Now group those that look alike together

You get    4x + 3x   and   -2 & -5

Result in    7x          and     -7

bring them closer and you get 7x-7

you could also go another step by looking at the 7x -7  where you see 7 as the common number

result in 7(x-1). This could also be your answer on a multiple choice test.  Good to know.

 

Answer 2

Think about the order of operations:

1) Parantheses, 2) exponents, 3) Multiplication/Division, 4)Addition/Subtraction

And always make sure that you are combining like terms.

Answer 3

4x-(2-3x)-5

Begin with Order of Operations (PEMDAS = Parentheses, Exponents, Multiplication, Division, Addition, Subtraction). To begin simplifying this, distribute the negative sign in front of the parentheses into the quantity in the parentheses. Everything in the parentheses will become the opposite sign because it is all multiplied by a negative 1. The positive 2 will become -2 and the -3x will become +3x. This leaves you with:

4x-2+3x-5

Next, combine like terms. The numbers should be combined and the x's should be combined. This means 4x would be combined with 3x, and since both are positive, you would add 4x to 3x to get 7x. Do the same with the numbers -2 and -5. Both are negative so when you add these two together you would get -7. If it helps, you can rearrange the expression to put the x's and the numbers next to each other before combining the like terms, like:

4x+3x-2-5

Notice that this expression is the same as 4x-2+3x-5, just rearranged. If you combine the terms as described above, you would end up with:

7x-7

This is the simplified expression. Hope this helps!

Answer 4

In mathematics, an algebraic expression is an expression built up from integer constants, variables, and the algebraic operations.

For example, 2(3 + 8) is a numeric expression. Algebraic expressions include at least one variable and at least one operation (addition, subtraction, multiplication, and division).

In an algebraic expression, terms are the elements separated by the plus or minus signs.

Things to know

ORDERS OPERATIONS

I ASSUME THAT YOU HAVE BEEN PRIOR LECTURED ON THE SUBJECTS KIND A PEREQUISITES FOR TO SOLVE MATHEMATICAL COMPUTATIONS

WHAT ARE ORDERS OF OPERATIONS?

In mathematics and computer programming, the order of operations is a collection of rules that reflect conventions about which procedures to perform first in order to evaluate a given mathematical expression.

The following is an example of a mathematical computation and to be able to solve it one must follow a list of protocol or set of rules.

4x-(2-3x)-5

What exactly are the orders of operations?

First we check if we have Brackets [ ] and check for other orders or operations inside the brackets

Second we check if we have have Parentheses ( ) and follow the operation or orders of operations as we could have operations inside the parentheses or grouping

Third we look for any powers or superscripts 1² or 2² which is simply means numbers multiplied as many times as indicated or given powers in this case the number 2 was given a power of ² so we can multiply it by itself 2 times and if it would have been given a power of 3 or 2³ we would have multiplied it 3x3x3 three times by itself or same number

Fourth We must check to see if we can divide from left to right

Fifth we check if there is any multiplication from left to right

Sixth we check to see if we can add from left to right

Seventh we check to see what we can subtract from left to right

I WAS ALLOWED TO COPY THE FOLLOWING VIDEO SO I ASSUME IT IS LEGAL TO SHARE

I COPIED AND PASTED

https://youtu.be/dAgfnK528RA

NOW THAT I HAVE YOUR ATTENTION

An operation

a process in which a number, quantity, expression, etc., is altered or manipulated according to formal rules, such as those of addition, multiplication, and differentiation.

PROBLEM

4x-(2-3x)-5

OPERATION?

Is there any BRACKETS?

No

Is there PARENTHESES?

Yes

Let's start performing this operation by rewriting it

and I BOLDED or DARKENED what we will work on first but second operation rule because there was no first operation or brackets.

4x -(2-3x) -5

as you can see everything inside the parentheses and the negative or minus - sign is bolded or darkened.

We must perform first operation we must first distribute the negative sign inside both inside the parentheses truly we pretend to multiply by -1 ---- -1(2-3x)

which is -1+3x

NOW THAT WE PERFORMED OR TAKEN FIRST STEPS IN OPERATING THE PROBLEM

ADDED NOTES

Here are the basic steps to follow to simplify an algebraic expression:

1. remove parentheses by multiplying factors.
2. use exponent rules to remove parentheses in terms with exponents.
3. combine like terms by adding coefficients.
4. combine the constants

4x-(2-3x)-5

4x-2+3x-5 at this point you say question why didn't we change -5 to +5? because we

operated on everything inside parentheses ONLY

4x -2 + 3x -5 we followed basic steps added notes on simplifying algebraic expressions

4x and Like terms are mathematical terms that have the exact same variables and exponents but they can have different coefficients.

7x -2 -5

7x -2-5 Now we combine CONSTANTS

7x-7

There is nothing else or no more operations

7x-7 is an answer

Some answers might reflect some properties

DISTRIBUTIVE

7(x-1)

Just like you distribute or use this property to remove parentheses you can also reinstate parentheses but you must ensure that both terms have a common

7x-7

There was a common number. The number 7 on both terms.

Coeffecient and constant

7 ( x - 1 )

If we use distributive property?

We multiply 7 to both inside parentheses we get 7x-7

We distributed the 7 to both variable and constant inside as parentheses means multiply when there is no sign in front or number in which prior we pretended to have a 1 so that we could use the rules for of multiplication of signs

Well I hope I helped

THE TEACH

Answer 5

The easiest thing to do with any equation or expression is to remember PEMDAS.

(P) Parenthesis

(E) Exponents

(M) Multiplication

(D) Division

(A) Addition

(S) Subtraction

This method always works!

4x-(2-3x)-5

4x-2+3x-5 Parentheses first. You always multiply with an expression like this so in this case you're multiplying the negative sign (-), also known as distributing, by 2 which gives you -2. You have (-3x) still remaining in parentheses and you need to get rid of those parentheses so you have to distribute the negative sign again. negative sign x -3x, which gives you a positive 3x because a negative times a negative equals a positive. (-)(-3x)

4x-2+3x-5 Next you work the expression left to right, still following PEMDAS so first is addition. It may be a little difficult to see right now because you have to combine like terms which gives you this. 4x+3x-2-5

7x-2-5 When using addition you add 4x and 3x together giving you 7x.

7x-2-5 Your like terms are already together. You CANNOT add 7x and negative 2 because they are not like terms because 7x has a variable which a letter. In this expression the variable is the (x) so you go right ahead and add -2-5. In this expression remember its (-2) and not -2 because we multiplies the (-) with the (2) and got (-2).

7x-7 This is your resulting answer because we added -2 plus -5. This is easier to understand when you do the keep, change, change method. This method simply means you keep the -2, then you change the - to +, and then change the 5 to -5 which gives you this -2+-5 resulting in -7. Because of the rule a negative plus a negative equals a a negative, your resulting answer is 7x-7.

Answer 6

4x - (2 - 3x) -5 distribute the negative sign from outside of the parentheses to each term inside

4x - 2 - (-3x) -5 Multiply the double negative in front of the 3x

4x -2 + 3x -5 rearrange to put the x's near each other and the integers near each other

4x + 3x -2 -5 Combine x's and combine integers

7x -7

possibly simplified further to 7(x-1)

Answer 7

Order of operations is the concept to think about

In this case what is in parentheses (2-3x) can not be simplified.

You must work through the problem to removed the parenthesis and in this case the - (2-3x) must be multiplied through. Parenthesis is first then multiplication and division.

Answer: -2+3x

Leaving 4x-2+3x-5

Now you can combine the Xs by adding the 4x+3x to get 7x and the 2-5 to get -3

7x-3

In order to solve for X now that you have all the Xs combined and the intergers combined you would have to place the 3 on the other side of the =.

7x-3= 0

+3= +3

7x= 3

Now you have 7Xs so you have to divide the 7 on both sides

7x= 3

7 7

x= 3/7

Answer 8

4x-(2-3x)-5

Step 1.

Remove parenthesis and switch signs of terms within it.

4x-(2-3x)-5 = 4x-2+3x - 5

Step 2

Combine like terms

4x-2+3x-5 = 4x+3x -2-5

Summarize

7x-7 is your answer

Answer 9

I agree with the end result of both Geovanny and Paul. Although I think Geovanny's answer was written in a more complex matter than a novice can easily understand (the multiplication part).. i could be wrong :)

I'd go this way in fewer steps (maybe I'm over-simplifying):

4x-(2-3x)-5 --> drop parenthesis with proper signs --> 4x-2+3x-5 -->combine like terms -->7x-7 or 7(x-1)

Answer 10

Super answer, Geovanny.  I would insert one small additional equivalent answer,which may be useful:  7x-7 can be factored into 7(x-1), which may be useful, depending on the application.

Answer 11

4x-(2-3x)-5 can be written as 4x-1(2-3x)-5

Use the distributive property. NOTE: Distributive property helps to get rid of the parenthesis. a(b + c) = ab + ac

Multipy the negative 1 into what is inside the parenthesis. 4x-1(2-3x)-5

-1*2=-2 and -1*-3x=3x, so -1(2-3x)=-2+3x

so now it's simplified to --> 4x-2+3x-5

Now combine like terms, 4x+3x=7x and -2-5=-7, this simplifies to..--> 7x-7

7x-7 is the simplified way of writing 4x-(2-3x)-5

Hope you understood :)