9(x+2)=x-6

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


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

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

Reorder the terms:
18 + 9x = -6 + x

Solving
18 + 9x = -6 + 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 + 9x + -1x = -6 + x + -1x

Combine like terms: 9x + -1x = 8x
18 + 8x = -6 + x + -1x

Combine like terms: x + -1x = 0
18 + 8x = -6 + 0
18 + 8x = -6

Add '-18' to each side of the equation.
18 + -18 + 8x = -6 + -18

Combine like terms: 18 + -18 = 0
0 + 8x = -6 + -18
8x = -6 + -18

Combine like terms: -6 + -18 = -24
8x = -24

Divide each side by '8'.
x = -3

Simplifying
x = -3

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