4(3-2x)=3(2-3x)

Solution for 4(3-2x)=3(2-3x) equation:

Simplifying
4(3 + -2x) = 3(2 + -3x)
(3 * 4 + -2x * 4) = 3(2 + -3x)
(12 + -8x) = 3(2 + -3x)
12 + -8x = (2 * 3 + -3x * 3)
12 + -8x = (6 + -9x)

Solving
12 + -8x = 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.
12 + -8x + 9x = 6 + -9x + 9x

Combine like terms: -8x + 9x = 1x
12 + 1x = 6 + -9x + 9x

Combine like terms: -9x + 9x = 0
12 + 1x = 6 + 0
12 + 1x = 6

Add '-12' to each side of the equation.
12 + -12 + 1x = 6 + -12

Combine like terms: 12 + -12 = 0
0 + 1x = 6 + -12
1x = 6 + -12

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

Divide each side by '1'.
x = -6

Simplifying
x = -6