7x-22=5x-8

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Solution for 7x-22=5x-8 equation:


Simplifying
7x + -22 = 5x + -8

Reorder the terms:
-22 + 7x = 5x + -8

Reorder the terms:
-22 + 7x = -8 + 5x

Solving
-22 + 7x = -8 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-22 + 7x + -5x = -8 + 5x + -5x

Combine like terms: 7x + -5x = 2x
-22 + 2x = -8 + 5x + -5x

Combine like terms: 5x + -5x = 0
-22 + 2x = -8 + 0
-22 + 2x = -8

Add '22' to each side of the equation.
-22 + 22 + 2x = -8 + 22

Combine like terms: -22 + 22 = 0
0 + 2x = -8 + 22
2x = -8 + 22

Combine like terms: -8 + 22 = 14
2x = 14

Divide each side by '2'.
x = 7

Simplifying
x = 7

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