Simplifying
-6 + 13 + -7 = -2x

Combine like terms: -6 + 13 = 7
7 + -7 = -2x

Combine like terms: 7 + -7 = 0
0 = -2x

Solving
0 = -2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x' to each side of the equation.
0 + 2x = -2x + 2x
Remove the zero:
2x = -2x + 2x

Combine like terms: -2x + 2x = 0
2x = 0

Divide each side by '2'.
x = 0

Simplifying
x = 0