2(3-2x)=2(x+6)

Solution for 2(3-2x)=2(x+6) equation:

Simplifying
2(3 + -2x) = 2(x + 6)
(3 * 2 + -2x * 2) = 2(x + 6)
(6 + -4x) = 2(x + 6)

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

Solving
6 + -4x = 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 + -4x + -2x = 12 + 2x + -2x

Combine like terms: -4x + -2x = -6x
6 + -6x = 12 + 2x + -2x

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

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

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

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

Divide each side by '-6'.
x = -1

Simplifying
x = -1