5x+22=20x-83

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Solution for 5x+22=20x-83 equation:


Simplifying
5x + 22 = 20x + -83

Reorder the terms:
22 + 5x = 20x + -83

Reorder the terms:
22 + 5x = -83 + 20x

Solving
22 + 5x = -83 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
22 + 5x + -20x = -83 + 20x + -20x

Combine like terms: 5x + -20x = -15x
22 + -15x = -83 + 20x + -20x

Combine like terms: 20x + -20x = 0
22 + -15x = -83 + 0
22 + -15x = -83

Add '-22' to each side of the equation.
22 + -22 + -15x = -83 + -22

Combine like terms: 22 + -22 = 0
0 + -15x = -83 + -22
-15x = -83 + -22

Combine like terms: -83 + -22 = -105
-15x = -105

Divide each side by '-15'.
x = 7

Simplifying
x = 7

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