2x+31=9x-39

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Solution for 2x+31=9x-39 equation:


Simplifying
2x + 31 = 9x + -39

Reorder the terms:
31 + 2x = 9x + -39

Reorder the terms:
31 + 2x = -39 + 9x

Solving
31 + 2x = -39 + 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.
31 + 2x + -9x = -39 + 9x + -9x

Combine like terms: 2x + -9x = -7x
31 + -7x = -39 + 9x + -9x

Combine like terms: 9x + -9x = 0
31 + -7x = -39 + 0
31 + -7x = -39

Add '-31' to each side of the equation.
31 + -31 + -7x = -39 + -31

Combine like terms: 31 + -31 = 0
0 + -7x = -39 + -31
-7x = -39 + -31

Combine like terms: -39 + -31 = -70
-7x = -70

Divide each side by '-7'.
x = 10

Simplifying
x = 10

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