2x-31=3x+7

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Solution for 2x-31=3x+7 equation:


Simplifying
2x + -31 = 3x + 7

Reorder the terms:
-31 + 2x = 3x + 7

Reorder the terms:
-31 + 2x = 7 + 3x

Solving
-31 + 2x = 7 + 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 = 7 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-31 + -1x = 7 + 3x + -3x

Combine like terms: 3x + -3x = 0
-31 + -1x = 7 + 0
-31 + -1x = 7

Add '31' to each side of the equation.
-31 + 31 + -1x = 7 + 31

Combine like terms: -31 + 31 = 0
0 + -1x = 7 + 31
-1x = 7 + 31

Combine like terms: 7 + 31 = 38
-1x = 38

Divide each side by '-1'.
x = -38

Simplifying
x = -38

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