31-(x+9)=8x-5

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Solution for 31-(x+9)=8x-5 equation: 


Simplifying
31 + -1(x + 9) = 8x + -5

Reorder the terms:
31 + -1(9 + x) = 8x + -5
31 + (9 * -1 + x * -1) = 8x + -5
31 + (-9 + -1x) = 8x + -5

Combine like terms: 31 + -9 = 22
22 + -1x = 8x + -5

Reorder the terms:
22 + -1x = -5 + 8x

Solving
22 + -1x = -5 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
22 + -1x + -8x = -5 + 8x + -8x

Combine like terms: -1x + -8x = -9x
22 + -9x = -5 + 8x + -8x

Combine like terms: 8x + -8x = 0
22 + -9x = -5 + 0
22 + -9x = -5

Add '-22' to each side of the equation.
22 + -22 + -9x = -5 + -22

Combine like terms: 22 + -22 = 0
0 + -9x = -5 + -22
-9x = -5 + -22

Combine like terms: -5 + -22 = -27
-9x = -27

Divide each side by '-9'.
x = 3

Simplifying
x = 3

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