Simplify i do not understand this and i need help
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 :)
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
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.
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.
Remove parenthesis and switch signs of terms within it.
4x-(2-3x)-5 = 4x-2+3x - 5
Combine like terms
4x-2+3x-5 = 4x+3x -2-5
7x-7 is your answer
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)
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.