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

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

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

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

Solving
-6 + 3x = 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 + 3x + 2x = 12 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-6 + 5x = 12 + -2x + 2x

Combine like terms: -2x + 2x = 0
-6 + 5x = 12 + 0
-6 + 5x = 12

Add '6' to each side of the equation.
-6 + 6 + 5x = 12 + 6

Combine like terms: -6 + 6 = 0
0 + 5x = 12 + 6
5x = 12 + 6

Combine like terms: 12 + 6 = 18
5x = 18

Divide each side by '5'.
x = 3.6

Simplifying
x = 3.6