Question

What is the solution to the equation

Answer 1

The solution is:

`x=-8`

Explanation:

We have the following equation

`-4(2x+3)=2x+6-(8x+2)`

To solve the equation apply the distributive property

`-4(2x+3)=2x+6-(8x+2)`

`-4*2x+3(-4)=2x+6-(1)*8x+2*(-1)`

Now simplify the expression

`-8x-12=2x+6-8x-2`

`-8x-12=-6x+4`

Add 6x +12 on both sides of the equation

`-8x-12+6x+12=-6x+4+6x+12`

`-2x=4+12`

`-2x=16`

Divide both sides of the equality between -2

`(-2)/(2)x=(16)/(-2)`

`x=-8`