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

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

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

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

Combine like terms: 3x + -4x = -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