9(x+2)+2=-6(x-6)-8

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Solution for 9(x+2)+2=-6(x-6)-8 equation: 


Simplifying
9(x + 2) + 2 = -6(x + -6) + -8

Reorder the terms:
9(2 + x) + 2 = -6(x + -6) + -8
(2 * 9 + x * 9) + 2 = -6(x + -6) + -8
(18 + 9x) + 2 = -6(x + -6) + -8

Reorder the terms:
18 + 2 + 9x = -6(x + -6) + -8

Combine like terms: 18 + 2 = 20
20 + 9x = -6(x + -6) + -8

Reorder the terms:
20 + 9x = -6(-6 + x) + -8
20 + 9x = (-6 * -6 + x * -6) + -8
20 + 9x = (36 + -6x) + -8

Reorder the terms:
20 + 9x = 36 + -8 + -6x

Combine like terms: 36 + -8 = 28
20 + 9x = 28 + -6x

Solving
20 + 9x = 28 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
20 + 9x + 6x = 28 + -6x + 6x

Combine like terms: 9x + 6x = 15x
20 + 15x = 28 + -6x + 6x

Combine like terms: -6x + 6x = 0
20 + 15x = 28 + 0
20 + 15x = 28

Add '-20' to each side of the equation.
20 + -20 + 15x = 28 + -20

Combine like terms: 20 + -20 = 0
0 + 15x = 28 + -20
15x = 28 + -20

Combine like terms: 28 + -20 = 8
15x = 8

Divide each side by '15'.
x = 0.5333333333

Simplifying
x = 0.5333333333

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