3(3x+2)=2(4x-12)

Solution for 3(3x+2)=2(4x-12) equation:

Simplifying
3(3x + 2) = 2(4x + -12)

Reorder the terms:
3(2 + 3x) = 2(4x + -12)
(2 * 3 + 3x * 3) = 2(4x + -12)
(6 + 9x) = 2(4x + -12)

Reorder the terms:
6 + 9x = 2(-12 + 4x)
6 + 9x = (-12 * 2 + 4x * 2)
6 + 9x = (-24 + 8x)

Solving
6 + 9x = -24 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
6 + 9x + -8x = -24 + 8x + -8x

Combine like terms: 9x + -8x = 1x
6 + 1x = -24 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + 1x = -24 + 0
6 + 1x = -24

Add '-6' to each side of the equation.
6 + -6 + 1x = -24 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = -24 + -6
1x = -24 + -6

Combine like terms: -24 + -6 = -30
1x = -30

Divide each side by '1'.
x = -30

Simplifying
x = -30