5x-22=2x-7

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Solution for 5x-22=2x-7 equation:


Simplifying
5x + -22 = 2x + -7

Reorder the terms:
-22 + 5x = 2x + -7

Reorder the terms:
-22 + 5x = -7 + 2x

Solving
-22 + 5x = -7 + 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 + 5x + -2x = -7 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-22 + 3x = -7 + 2x + -2x

Combine like terms: 2x + -2x = 0
-22 + 3x = -7 + 0
-22 + 3x = -7

Add '22' to each side of the equation.
-22 + 22 + 3x = -7 + 22

Combine like terms: -22 + 22 = 0
0 + 3x = -7 + 22
3x = -7 + 22

Combine like terms: -7 + 22 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5

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