Question

how many solutions? 8+2(x-6)=-2x-2
show work

Answer 1

To solve the equation 8 + 2(x-6) = -2x - 2, we first need to simplify by distributing the 2 on the left side:

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

Combine like terms on the left side:

2x - 4 = -2x - 2

Add 2x to both sides:

4 = -2x - 2x - 2

Combine like terms on the right side:

4 = -4x - 2

Now, add 2 to both sides:

6 = -4x

Divide by -4 to solve for x:

x = -6/4

x = -3/2

Therefore, the solution to the equation 8 + 2(x-6) = -2x - 2 is x = -3/2. So there is only one solution.