9(x+6)=2x-2

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


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

Reorder the terms:
9(6 + x) = 2x + -2
(6 * 9 + x * 9) = 2x + -2
(54 + 9x) = 2x + -2

Reorder the terms:
54 + 9x = -2 + 2x

Solving
54 + 9x = -2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
54 + 9x + -2x = -2 + 2x + -2x

Combine like terms: 9x + -2x = 7x
54 + 7x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
54 + 7x = -2 + 0
54 + 7x = -2

Add '-54' to each side of the equation.
54 + -54 + 7x = -2 + -54

Combine like terms: 54 + -54 = 0
0 + 7x = -2 + -54
7x = -2 + -54

Combine like terms: -2 + -54 = -56
7x = -56

Divide each side by '7'.
x = -8

Simplifying
x = -8

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