What is the solution to the equation - 4 (2x+3) = 2x+6 - (8x+2)

A) x = - 10

B) x = - 8

C) x = - 5/2

D) x = - 4/7

The correct answer is B. x=-8

What yo do is distribute first

a (b+c) = ab+ac

so

don't forget to distribute - 1

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

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

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

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

-8x-12=-6x+4

add 8x to both sides

-12=2x+4

minus 4 both sides

-16=2x

divide both sides b 2

-8=x

B