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

The solution to the given equation is that the value of x is - 8.

Step-by-step explanation:

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

Distribute - 4 to (2x + 3).

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

Since there is a negative sign in front of (8x + 2) then you will turn the terms into negatives.

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

Now, combine like terms on the right side of the equation.

-8x - 12 = - 6x + 4

Add - 6x on both sides of the equation.

-2x - 12 = 4

Add 12 to both sides of the equation.

-2x = 16

Divide - 2 on both sides on the equation.

x = - 8

So, the value of x is - 8.