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

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

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

Reorder the terms:
3(-2 + x) = 3(2 + -3x)
(-2 * 3 + x * 3) = 3(2 + -3x)
(-6 + 3x) = 3(2 + -3x)
-6 + 3x = (2 * 3 + -3x * 3)
-6 + 3x = (6 + -9x)

Solving
-6 + 3x = 6 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
-6 + 3x + 9x = 6 + -9x + 9x

Combine like terms: 3x + 9x = 12x
-6 + 12x = 6 + -9x + 9x

Combine like terms: -9x + 9x = 0
-6 + 12x = 6 + 0
-6 + 12x = 6

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

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

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

Divide each side by '12'.
x = 1

Simplifying
x = 1