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

Solution for 4-(x-2)=2(x+6) equation:

Simplifying
4 + -1(x + -2) = 2(x + 6)

Reorder the terms:
4 + -1(-2 + x) = 2(x + 6)
4 + (-2 * -1 + x * -1) = 2(x + 6)
4 + (2 + -1x) = 2(x + 6)

Combine like terms: 4 + 2 = 6
6 + -1x = 2(x + 6)

Reorder the terms:
6 + -1x = 2(6 + x)
6 + -1x = (6 * 2 + x * 2)
6 + -1x = (12 + 2x)

Solving
6 + -1x = 12 + 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.
6 + -1x + -2x = 12 + 2x + -2x

Combine like terms: -1x + -2x = -3x
6 + -3x = 12 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + -3x = 12 + 0
6 + -3x = 12

Add '-6' to each side of the equation.
6 + -6 + -3x = 12 + -6

Combine like terms: 6 + -6 = 0
0 + -3x = 12 + -6
-3x = 12 + -6

Combine like terms: 12 + -6 = 6
-3x = 6

Divide each side by '-3'.
x = -2

Simplifying
x = -2