3(x+6)=x

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


Simplifying
3(x + 6) = x

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

Solving
18 + 3x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
18 + 3x + -1x = x + -1x

Combine like terms: 3x + -1x = 2x
18 + 2x = x + -1x

Combine like terms: x + -1x = 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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