9(x+10)=x-22

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Solution for 9(x+10)=x-22 equation:


Simplifying
9(x + 10) = x + -22

Reorder the terms:
9(10 + x) = x + -22
(10 * 9 + x * 9) = x + -22
(90 + 9x) = x + -22

Reorder the terms:
90 + 9x = -22 + x

Solving
90 + 9x = -22 + 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.
90 + 9x + -1x = -22 + x + -1x

Combine like terms: 9x + -1x = 8x
90 + 8x = -22 + x + -1x

Combine like terms: x + -1x = 0
90 + 8x = -22 + 0
90 + 8x = -22

Add '-90' to each side of the equation.
90 + -90 + 8x = -22 + -90

Combine like terms: 90 + -90 = 0
0 + 8x = -22 + -90
8x = -22 + -90

Combine like terms: -22 + -90 = -112
8x = -112

Divide each side by '8'.
x = -14

Simplifying
x = -14

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