-4x+9=x-31

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Solution for -4x+9=x-31 equation:


Simplifying
-4x + 9 = x + -31

Reorder the terms:
9 + -4x = x + -31

Reorder the terms:
9 + -4x = -31 + x

Solving
9 + -4x = -31 + 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.
9 + -4x + -1x = -31 + x + -1x

Combine like terms: -4x + -1x = -5x
9 + -5x = -31 + x + -1x

Combine like terms: x + -1x = 0
9 + -5x = -31 + 0
9 + -5x = -31

Add '-9' to each side of the equation.
9 + -9 + -5x = -31 + -9

Combine like terms: 9 + -9 = 0
0 + -5x = -31 + -9
-5x = -31 + -9

Combine like terms: -31 + -9 = -40
-5x = -40

Divide each side by '-5'.
x = 8

Simplifying
x = 8

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