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

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

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

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

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

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

Combine like terms: -6 + 12 = 6
6 + 2x + -3x = -2(x + -4)

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

Reorder the terms:
6 + -1x = -2(-4 + x)
6 + -1x = (-4 * -2 + x * -2)
6 + -1x = (8 + -2x)

Solving
6 + -1x = 8 + -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.
6 + -1x + 2x = 8 + -2x + 2x

Combine like terms: -1x + 2x = 1x
6 + 1x = 8 + -2x + 2x

Combine like terms: -2x + 2x = 0
6 + 1x = 8 + 0
6 + 1x = 8

Add '-6' to each side of the equation.
6 + -6 + 1x = 8 + -6

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

Combine like terms: 8 + -6 = 2
1x = 2

Divide each side by '1'.
x = 2

Simplifying
x = 2