7x-83=2x+22

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Solution for 7x-83=2x+22 equation:


Simplifying
7x + -83 = 2x + 22

Reorder the terms:
-83 + 7x = 2x + 22

Reorder the terms:
-83 + 7x = 22 + 2x

Solving
-83 + 7x = 22 + 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.
-83 + 7x + -2x = 22 + 2x + -2x

Combine like terms: 7x + -2x = 5x
-83 + 5x = 22 + 2x + -2x

Combine like terms: 2x + -2x = 0
-83 + 5x = 22 + 0
-83 + 5x = 22

Add '83' to each side of the equation.
-83 + 83 + 5x = 22 + 83

Combine like terms: -83 + 83 = 0
0 + 5x = 22 + 83
5x = 22 + 83

Combine like terms: 22 + 83 = 105
5x = 105

Divide each side by '5'.
x = 21

Simplifying
x = 21

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