4x-31=2x-9

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


Simplifying
4x + -31 = 2x + -9

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

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

Solving
-31 + 4x = -9 + 2x

Solving for variable 'x'.

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

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

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

Combine like terms: 2x + -2x = 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 = 22
2x = 22

Divide each side by '2'.
x = 11

Simplifying
x = 11

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