-6(5+x)+(13x+1) how do you solve this equation

Question

i don't know how to solve this equation

Answer 1

Hi Amanda! This doesn't have an equal sign, so it's not an equation to "solve." It's an "expression" that can be "simplified." So I figure that's what you mean. Since the "-6" is right next to the parentheses, you multiply the -6 by each item in the parentheses. -6 x 5=-30; -6 x "+x"=-6x. So now you rewrite everything: -30-6x+13x+1. Now we "combine like terms." That means add the things that have an "x" together, and then add the things that don't have an "x" together. So -6x + 13x = 7x and -30 + 1 = -29. So the final answer is 7x - 29.

Answer 2

Hello Amanda,

Please note that we define an equation if there is an = sign in the expression.

 

here, you can not call this an equation because it is not equated to anything.

 

The Expression may be reduced keeping in mind the PEMDAS operators in the same order as follows.

 

-6(5+x)+(13x+1) = (-6)*5+(-6)*x +13x+1

 

                         = (-30) -6x+ 13x+ 1

 

                       = 7x + (-30) +1 = 7x - 29.

 

Hope this helps.

Answer 3

When there are problems with parentheses, you have to operate those first. Remember PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. The distributive property must be used in this problem; operate the first set of parentheses and then operate the second set, then add the whole things together. Here's an example:

-4(2+x)  +  (8x+6)

-8+(-4x)  +  8x+6

-8+6 = -2   and   -4x+8x = 4x

And so the answer is 4x-2.