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

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

Simplifying
2(3 + -2x) = 3(6 + -1x)
(3 * 2 + -2x * 2) = 3(6 + -1x)
(6 + -4x) = 3(6 + -1x)
6 + -4x = (6 * 3 + -1x * 3)
6 + -4x = (18 + -3x)

Solving
6 + -4x = 18 + -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 + -4x + 3x = 18 + -3x + 3x

Combine like terms: -4x + 3x = -1x
6 + -1x = 18 + -3x + 3x

Combine like terms: -3x + 3x = 0
6 + -1x = 18 + 0
6 + -1x = 18

Add '-6' to each side of the equation.
6 + -6 + -1x = 18 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 18 + -6
-1x = 18 + -6

Combine like terms: 18 + -6 = 12
-1x = 12

Divide each side by '-1'.
x = -12

Simplifying
x = -12