2(x+6)=9x-9

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Solution for 2(x+6)=9x-9 equation:


Simplifying
2(x + 6) = 9x + -9

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

Reorder the terms:
12 + 2x = -9 + 9x

Solving
12 + 2x = -9 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
12 + 2x + -9x = -9 + 9x + -9x

Combine like terms: 2x + -9x = -7x
12 + -7x = -9 + 9x + -9x

Combine like terms: 9x + -9x = 0
12 + -7x = -9 + 0
12 + -7x = -9

Add '-12' to each side of the equation.
12 + -12 + -7x = -9 + -12

Combine like terms: 12 + -12 = 0
0 + -7x = -9 + -12
-7x = -9 + -12

Combine like terms: -9 + -12 = -21
-7x = -21

Divide each side by '-7'.
x = 3

Simplifying
x = 3

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