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

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


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

Reorder the terms:
3(-6 + x) + -6(x + -3) = x + 2 + -1(x + -4)
(-6 * 3 + x * 3) + -6(x + -3) = x + 2 + -1(x + -4)
(-18 + 3x) + -6(x + -3) = x + 2 + -1(x + -4)

Reorder the terms:
-18 + 3x + -6(-3 + x) = x + 2 + -1(x + -4)
-18 + 3x + (-3 * -6 + x * -6) = x + 2 + -1(x + -4)
-18 + 3x + (18 + -6x) = x + 2 + -1(x + -4)

Reorder the terms:
-18 + 18 + 3x + -6x = x + 2 + -1(x + -4)

Combine like terms: -18 + 18 = 0
0 + 3x + -6x = x + 2 + -1(x + -4)
3x + -6x = x + 2 + -1(x + -4)

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

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

Reorder the terms:
-3x = 2 + 4 + x + -1x

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

Combine like terms: x + -1x = 0
-3x = 6 + 0
-3x = 6

Solving
-3x = 6

Solving for variable 'x'.

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

Divide each side by '-3'.
x = -2

Simplifying
x = -2

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