3x+31=8x-9

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Solution for 3x+31=8x-9 equation:


Simplifying
3x + 31 = 8x + -9

Reorder the terms:
31 + 3x = 8x + -9

Reorder the terms:
31 + 3x = -9 + 8x

Solving
31 + 3x = -9 + 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.
31 + 3x + -8x = -9 + 8x + -8x

Combine like terms: 3x + -8x = -5x
31 + -5x = -9 + 8x + -8x

Combine like terms: 8x + -8x = 0
31 + -5x = -9 + 0
31 + -5x = -9

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

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

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

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

Simplifying
x = 8

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