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

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


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

Reorder the terms:
4(-6 + x) + -6(x + -4) = x + 2 + -1(x + -2)
(-6 * 4 + x * 4) + -6(x + -4) = x + 2 + -1(x + -2)
(-24 + 4x) + -6(x + -4) = x + 2 + -1(x + -2)

Reorder the terms:
-24 + 4x + -6(-4 + x) = x + 2 + -1(x + -2)
-24 + 4x + (-4 * -6 + x * -6) = x + 2 + -1(x + -2)
-24 + 4x + (24 + -6x) = x + 2 + -1(x + -2)

Reorder the terms:
-24 + 24 + 4x + -6x = x + 2 + -1(x + -2)

Combine like terms: -24 + 24 = 0
0 + 4x + -6x = x + 2 + -1(x + -2)
4x + -6x = x + 2 + -1(x + -2)

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

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

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

Combine like terms: 2 + 2 = 4
-2x = 4 + x + -1x

Combine like terms: x + -1x = 0
-2x = 4 + 0
-2x = 4

Solving
-2x = 4

Solving for variable 'x'.

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

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

Simplifying
x = -2

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