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

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


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

Reorder the terms:
-3(-3 + x) = 2(x + 6) + x
(-3 * -3 + x * -3) = 2(x + 6) + x
(9 + -3x) = 2(x + 6) + x

Reorder the terms:
9 + -3x = 2(6 + x) + x
9 + -3x = (6 * 2 + x * 2) + x
9 + -3x = (12 + 2x) + x

Combine like terms: 2x + x = 3x
9 + -3x = 12 + 3x

Solving
9 + -3x = 12 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
9 + -3x + -3x = 12 + 3x + -3x

Combine like terms: -3x + -3x = -6x
9 + -6x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
9 + -6x = 12 + 0
9 + -6x = 12

Add '-9' to each side of the equation.
9 + -9 + -6x = 12 + -9

Combine like terms: 9 + -9 = 0
0 + -6x = 12 + -9
-6x = 12 + -9

Combine like terms: 12 + -9 = 3
-6x = 3

Divide each side by '-6'.
x = -0.5

Simplifying
x = -0.5

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