2(x-6)-6(x-2)=x+6-(x-10)

Solution for 2(x-6)-6(x-2)=x+6-(x-10) equation:

Simplifying
2(x + -6) + -6(x + -2) = x + 6 + -1(x + -10)

Reorder the terms:
2(-6 + x) + -6(x + -2) = x + 6 + -1(x + -10)
(-6 * 2 + x * 2) + -6(x + -2) = x + 6 + -1(x + -10)
(-12 + 2x) + -6(x + -2) = x + 6 + -1(x + -10)

Reorder the terms:
-12 + 2x + -6(-2 + x) = x + 6 + -1(x + -10)
-12 + 2x + (-2 * -6 + x * -6) = x + 6 + -1(x + -10)
-12 + 2x + (12 + -6x) = x + 6 + -1(x + -10)

Reorder the terms:
-12 + 12 + 2x + -6x = x + 6 + -1(x + -10)

Combine like terms: -12 + 12 = 0
0 + 2x + -6x = x + 6 + -1(x + -10)
2x + -6x = x + 6 + -1(x + -10)

Combine like terms: 2x + -6x = -4x
-4x = x + 6 + -1(x + -10)

Reorder the terms:
-4x = x + 6 + -1(-10 + x)
-4x = x + 6 + (-10 * -1 + x * -1)
-4x = x + 6 + (10 + -1x)

Reorder the terms:
-4x = 6 + 10 + x + -1x

Combine like terms: 6 + 10 = 16
-4x = 16 + x + -1x

Combine like terms: x + -1x = 0
-4x = 16 + 0
-4x = 16

Solving
-4x = 16

Solving for variable 'x'.

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

Divide each side by '-4'.
x = -4

Simplifying
x = -4