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

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

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

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

Solving
-6 + 3x = 6 + -3x

Solving for variable 'x'.

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

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

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

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

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

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

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

Divide each side by '6'.
x = 2

Simplifying
x = 2