Question

What is the solution to the equation

Answer 1

Answer:

The solution is:

$x=-8$

Step-by-step 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

$\frac{-2}{2}x=\frac{16}{-2}$

$x=-8$