7x-22=2x+31

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Solution for 7x-22=2x+31 equation:


Simplifying
7x + -22 = 2x + 31

Reorder the terms:
-22 + 7x = 2x + 31

Reorder the terms:
-22 + 7x = 31 + 2x

Solving
-22 + 7x = 31 + 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.
-22 + 7x + -2x = 31 + 2x + -2x

Combine like terms: 7x + -2x = 5x
-22 + 5x = 31 + 2x + -2x

Combine like terms: 2x + -2x = 0
-22 + 5x = 31 + 0
-22 + 5x = 31

Add '22' to each side of the equation.
-22 + 22 + 5x = 31 + 22

Combine like terms: -22 + 22 = 0
0 + 5x = 31 + 22
5x = 31 + 22

Combine like terms: 31 + 22 = 53
5x = 53

Divide each side by '5'.
x = 10.6

Simplifying
x = 10.6

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