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

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


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

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

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

Combine like terms: 2x + -6x = -4x
-12 + 4x = -12 + -4x

Add '12' to each side of the equation.
-12 + 12 + 4x = -12 + 12 + -4x

Combine like terms: -12 + 12 = 0
0 + 4x = -12 + 12 + -4x
4x = -12 + 12 + -4x

Combine like terms: -12 + 12 = 0
4x = 0 + -4x
4x = -4x

Solving
4x = -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
4x + 4x = -4x + 4x

Combine like terms: 4x + 4x = 8x
8x = -4x + 4x

Combine like terms: -4x + 4x = 0
8x = 0

Divide each side by '8'.
x = 0

Simplifying
x = 0

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