3(2-x)=(x-2)

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

Simplifying
3(2 + -1x) = (x + -2)
(2 * 3 + -1x * 3) = (x + -2)
(6 + -3x) = (x + -2)

Reorder the terms:
6 + -3x = (-2 + x)

Remove parenthesis around (-2 + x)
6 + -3x = -2 + x

Solving
6 + -3x = -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 + -3x + -1x = -2 + x + -1x

Combine like terms: -3x + -1x = -4x
6 + -4x = -2 + x + -1x

Combine like terms: x + -1x = 0
6 + -4x = -2 + 0
6 + -4x = -2

Add '-6' to each side of the equation.
6 + -6 + -4x = -2 + -6

Combine like terms: 6 + -6 = 0
0 + -4x = -2 + -6
-4x = -2 + -6

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

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

Simplifying
x = 2