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

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

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

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

Reorder the terms:
-6 + 9x = 4(-3 + 2x)
-6 + 9x = (-3 * 4 + 2x * 4)
-6 + 9x = (-12 + 8x)

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

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

Combine like terms: 8x + -8x = 0
-6 + 1x = -12 + 0
-6 + 1x = -12

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

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

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

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

Simplifying
x = -6