3(x-6)=6x-x

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


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

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

Combine like terms: 6x + -1x = 5x
-18 + 3x = 5x

Solving
-18 + 3x = 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-18 + 3x + -5x = 5x + -5x

Combine like terms: 3x + -5x = -2x
-18 + -2x = 5x + -5x

Combine like terms: 5x + -5x = 0
-18 + -2x = 0

Add '18' to each side of the equation.
-18 + 18 + -2x = 0 + 18

Combine like terms: -18 + 18 = 0
0 + -2x = 0 + 18
-2x = 0 + 18

Combine like terms: 0 + 18 = 18
-2x = 18

Divide each side by '-2'.
x = -9

Simplifying
x = -9

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