2x+31=4x-9

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Solution for 2x+31=4x-9 equation:


Simplifying
2x + 31 = 4x + -9

Reorder the terms:
31 + 2x = 4x + -9

Reorder the terms:
31 + 2x = -9 + 4x

Solving
31 + 2x = -9 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
31 + 2x + -4x = -9 + 4x + -4x

Combine like terms: 2x + -4x = -2x
31 + -2x = -9 + 4x + -4x

Combine like terms: 4x + -4x = 0
31 + -2x = -9 + 0
31 + -2x = -9

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

Combine like terms: 31 + -31 = 0
0 + -2x = -9 + -31
-2x = -9 + -31

Combine like terms: -9 + -31 = -40
-2x = -40

Divide each side by '-2'.
x = 20

Simplifying
x = 20

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