90-x+10=5x-22

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Solution for 90-x+10=5x-22 equation:


Simplifying
90 + -1x + 10 = 5x + -22

Reorder the terms:
90 + 10 + -1x = 5x + -22

Combine like terms: 90 + 10 = 100
100 + -1x = 5x + -22

Reorder the terms:
100 + -1x = -22 + 5x

Solving
100 + -1x = -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.
100 + -1x + -5x = -22 + 5x + -5x

Combine like terms: -1x + -5x = -6x
100 + -6x = -22 + 5x + -5x

Combine like terms: 5x + -5x = 0
100 + -6x = -22 + 0
100 + -6x = -22

Add '-100' to each side of the equation.
100 + -100 + -6x = -22 + -100

Combine like terms: 100 + -100 = 0
0 + -6x = -22 + -100
-6x = -22 + -100

Combine like terms: -22 + -100 = -122
-6x = -122

Divide each side by '-6'.
x = 20.33333333

Simplifying
x = 20.33333333

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