4(x-6)-6(x-4)=x+6-(x-6)

Solution for 4(x-6)-6(x-4)=x+6-(x-6) equation:

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

Reorder the terms:
4(-6 + x) + -6(x + -4) = x + 6 + -1(x + -6)
(-6 * 4 + x * 4) + -6(x + -4) = x + 6 + -1(x + -6)
(-24 + 4x) + -6(x + -4) = x + 6 + -1(x + -6)

Reorder the terms:
-24 + 4x + -6(-4 + x) = x + 6 + -1(x + -6)
-24 + 4x + (-4 * -6 + x * -6) = x + 6 + -1(x + -6)
-24 + 4x + (24 + -6x) = x + 6 + -1(x + -6)

Reorder the terms:
-24 + 24 + 4x + -6x = x + 6 + -1(x + -6)

Combine like terms: -24 + 24 = 0
0 + 4x + -6x = x + 6 + -1(x + -6)
4x + -6x = x + 6 + -1(x + -6)

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

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

Reorder the terms:
-2x = 6 + 6 + x + -1x

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

Combine like terms: x + -1x = 0
-2x = 12 + 0
-2x = 12

Solving
-2x = 12

Solving for variable 'x'.

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

Divide each side by '-2'.
x = -6

Simplifying
x = -6