31-(x+8)=9x-7

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Solution for 31-(x+8)=9x-7 equation: 


Simplifying
31 + -1(x + 8) = 9x + -7

Reorder the terms:
31 + -1(8 + x) = 9x + -7
31 + (8 * -1 + x * -1) = 9x + -7
31 + (-8 + -1x) = 9x + -7

Combine like terms: 31 + -8 = 23
23 + -1x = 9x + -7

Reorder the terms:
23 + -1x = -7 + 9x

Solving
23 + -1x = -7 + 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.
23 + -1x + -9x = -7 + 9x + -9x

Combine like terms: -1x + -9x = -10x
23 + -10x = -7 + 9x + -9x

Combine like terms: 9x + -9x = 0
23 + -10x = -7 + 0
23 + -10x = -7

Add '-23' to each side of the equation.
23 + -23 + -10x = -7 + -23

Combine like terms: 23 + -23 = 0
0 + -10x = -7 + -23
-10x = -7 + -23

Combine like terms: -7 + -23 = -30
-10x = -30

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

Simplifying
x = 3

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