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

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

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

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

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

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

Combine like terms: -6 + 6 = 0
0 + 8x = -6 + 6 + 9x
8x = -6 + 6 + 9x

Combine like terms: -6 + 6 = 0
8x = 0 + 9x
8x = 9x

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

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

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

Divide each side by '-1'.
x = 0

Simplifying
x = 0