2-(8+x)=x+2

Solution for 2-(8+x)=x+2 equation:

Simplifying
2 + -1(8 + x) = x + 2
2 + (8 * -1 + x * -1) = x + 2
2 + (-8 + -1x) = x + 2

Combine like terms: 2 + -8 = -6
-6 + -1x = x + 2

Reorder the terms:
-6 + -1x = 2 + x

Solving
-6 + -1x = 2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-6 + -1x + -1x = 2 + x + -1x

Combine like terms: -1x + -1x = -2x
-6 + -2x = 2 + x + -1x

Combine like terms: x + -1x = 0
-6 + -2x = 2 + 0
-6 + -2x = 2

Add '6' to each side of the equation.
-6 + 6 + -2x = 2 + 6

Combine like terms: -6 + 6 = 0
0 + -2x = 2 + 6
-2x = 2 + 6

Combine like terms: 2 + 6 = 8
-2x = 8

Divide each side by '-2'.
x = -4

Simplifying
x = -4