12-2(x+3)=x-4(2-x)

Solution for 12-2(x+3)=x-4(2-x) equation:

Simplifying
12 + -2(x + 3) = x + -4(2 + -1x)

Reorder the terms:
12 + -2(3 + x) = x + -4(2 + -1x)
12 + (3 * -2 + x * -2) = x + -4(2 + -1x)
12 + (-6 + -2x) = x + -4(2 + -1x)

Combine like terms: 12 + -6 = 6
6 + -2x = x + -4(2 + -1x)
6 + -2x = x + (2 * -4 + -1x * -4)
6 + -2x = x + (-8 + 4x)

Reorder the terms:
6 + -2x = -8 + x + 4x

Combine like terms: x + 4x = 5x
6 + -2x = -8 + 5x

Solving
6 + -2x = -8 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
6 + -2x + -5x = -8 + 5x + -5x

Combine like terms: -2x + -5x = -7x
6 + -7x = -8 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + -7x = -8 + 0
6 + -7x = -8

Add '-6' to each side of the equation.
6 + -6 + -7x = -8 + -6

Combine like terms: 6 + -6 = 0
0 + -7x = -8 + -6
-7x = -8 + -6

Combine like terms: -8 + -6 = -14
-7x = -14

Divide each side by '-7'.
x = 2

Simplifying
x = 2