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

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

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

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

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

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

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

Add '6' to each side of the equation.
-6 + 6 + 6x = -6 + 6 + 3x

Combine like terms: -6 + 6 = 0
0 + 6x = -6 + 6 + 3x
6x = -6 + 6 + 3x

Combine like terms: -6 + 6 = 0
6x = 0 + 3x
6x = 3x

Solving
6x = 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
6x + -3x = 3x + -3x

Combine like terms: 6x + -3x = 3x
3x = 3x + -3x

Combine like terms: 3x + -3x = 0
3x = 0

Divide each side by '3'.
x = 0

Simplifying
x = 0