102-5x=13x+22

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Solution for 102-5x=13x+22 equation: 


Simplifying
102 + -5x = 13x + 22

Reorder the terms:
102 + -5x = 22 + 13x

Solving
102 + -5x = 22 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
102 + -5x + -13x = 22 + 13x + -13x

Combine like terms: -5x + -13x = -18x
102 + -18x = 22 + 13x + -13x

Combine like terms: 13x + -13x = 0
102 + -18x = 22 + 0
102 + -18x = 22

Add '-102' to each side of the equation.
102 + -102 + -18x = 22 + -102

Combine like terms: 102 + -102 = 0
0 + -18x = 22 + -102
-18x = 22 + -102

Combine like terms: 22 + -102 = -80
-18x = -80

Divide each side by '-18'.
x = 4.444444444

Simplifying
x = 4.444444444

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