2(x-3)-3(x-4)=6-(x-6)

Solution for 2(x-3)-3(x-4)=6-(x-6) equation:

Simplifying
2(x + -3) + -3(x + -4) = 6 + -1(x + -6)

Reorder the terms:
2(-3 + x) + -3(x + -4) = 6 + -1(x + -6)
(-3 * 2 + x * 2) + -3(x + -4) = 6 + -1(x + -6)
(-6 + 2x) + -3(x + -4) = 6 + -1(x + -6)

Reorder the terms:
-6 + 2x + -3(-4 + x) = 6 + -1(x + -6)
-6 + 2x + (-4 * -3 + x * -3) = 6 + -1(x + -6)
-6 + 2x + (12 + -3x) = 6 + -1(x + -6)

Reorder the terms:
-6 + 12 + 2x + -3x = 6 + -1(x + -6)

Combine like terms: -6 + 12 = 6
6 + 2x + -3x = 6 + -1(x + -6)

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

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

Combine like terms: 6 + 6 = 12
6 + -1x = 12 + -1x

Add 'x' to each side of the equation.
6 + -1x + x = 12 + -1x + x

Combine like terms: -1x + x = 0
6 + 0 = 12 + -1x + x
6 = 12 + -1x + x

Combine like terms: -1x + x = 0
6 = 12 + 0
6 = 12

Solving
6 = 12

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.