31-(x+9)=9x-8

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Solution for 31-(x+9)=9x-8 equation: 


Simplifying
31 + -1(x + 9) = 9x + -8

Reorder the terms:
31 + -1(9 + x) = 9x + -8
31 + (9 * -1 + x * -1) = 9x + -8
31 + (-9 + -1x) = 9x + -8

Combine like terms: 31 + -9 = 22
22 + -1x = 9x + -8

Reorder the terms:
22 + -1x = -8 + 9x

Solving
22 + -1x = -8 + 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.
22 + -1x + -9x = -8 + 9x + -9x

Combine like terms: -1x + -9x = -10x
22 + -10x = -8 + 9x + -9x

Combine like terms: 9x + -9x = 0
22 + -10x = -8 + 0
22 + -10x = -8

Add '-22' to each side of the equation.
22 + -22 + -10x = -8 + -22

Combine like terms: 22 + -22 = 0
0 + -10x = -8 + -22
-10x = -8 + -22

Combine like terms: -8 + -22 = -30
-10x = -30

Divide each side by '-10'.
x = 3

Simplifying
x = 3

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