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

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

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

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

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

Combine like terms: 4x + -3x = 1x
6 + 1x = 2(x + 3)

Reorder the terms:
6 + 1x = 2(3 + x)
6 + 1x = (3 * 2 + x * 2)
6 + 1x = (6 + 2x)

Add '-6' to each side of the equation.
6 + -6 + 1x = 6 + -6 + 2x

Combine like terms: 6 + -6 = 0
0 + 1x = 6 + -6 + 2x
1x = 6 + -6 + 2x

Combine like terms: 6 + -6 = 0
1x = 0 + 2x
1x = 2x

Solving
1x = 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
1x + -2x = 2x + -2x

Combine like terms: 1x + -2x = -1x
-1x = 2x + -2x

Combine like terms: 2x + -2x = 0
-1x = 0

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

Simplifying
x = 0