2x+17=5x-22

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Solution for 2x+17=5x-22 equation:


Simplifying
2x + 17 = 5x + -22

Reorder the terms:
17 + 2x = 5x + -22

Reorder the terms:
17 + 2x = -22 + 5x

Solving
17 + 2x = -22 + 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.
17 + 2x + -5x = -22 + 5x + -5x

Combine like terms: 2x + -5x = -3x
17 + -3x = -22 + 5x + -5x

Combine like terms: 5x + -5x = 0
17 + -3x = -22 + 0
17 + -3x = -22

Add '-17' to each side of the equation.
17 + -17 + -3x = -22 + -17

Combine like terms: 17 + -17 = 0
0 + -3x = -22 + -17
-3x = -22 + -17

Combine like terms: -22 + -17 = -39
-3x = -39

Divide each side by '-3'.
x = 13

Simplifying
x = 13

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