2x+31=3x-9

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Solution for 2x+31=3x-9 equation:


Simplifying
2x + 31 = 3x + -9

Reorder the terms:
31 + 2x = 3x + -9

Reorder the terms:
31 + 2x = -9 + 3x

Solving
31 + 2x = -9 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
31 + 2x + -3x = -9 + 3x + -3x

Combine like terms: 2x + -3x = -1x
31 + -1x = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
31 + -1x = -9 + 0
31 + -1x = -9

Add '-31' to each side of the equation.
31 + -31 + -1x = -9 + -31

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

Combine like terms: -9 + -31 = -40
-1x = -40

Divide each side by '-1'.
x = 40

Simplifying
x = 40

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