172-5x=40x+22

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Solution for 172-5x=40x+22 equation: 


Simplifying
172 + -5x = 40x + 22

Reorder the terms:
172 + -5x = 22 + 40x

Solving
172 + -5x = 22 + 40x

Solving for variable 'x'.

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

Add '-40x' to each side of the equation.
172 + -5x + -40x = 22 + 40x + -40x

Combine like terms: -5x + -40x = -45x
172 + -45x = 22 + 40x + -40x

Combine like terms: 40x + -40x = 0
172 + -45x = 22 + 0
172 + -45x = 22

Add '-172' to each side of the equation.
172 + -172 + -45x = 22 + -172

Combine like terms: 172 + -172 = 0
0 + -45x = 22 + -172
-45x = 22 + -172

Combine like terms: 22 + -172 = -150
-45x = -150

Divide each side by '-45'.
x = 3.333333333

Simplifying
x = 3.333333333

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