3x-22=5x+38

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Solution for 3x-22=5x+38 equation:


Simplifying
3x + -22 = 5x + 38

Reorder the terms:
-22 + 3x = 5x + 38

Reorder the terms:
-22 + 3x = 38 + 5x

Solving
-22 + 3x = 38 + 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.
-22 + 3x + -5x = 38 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-22 + -2x = 38 + 5x + -5x

Combine like terms: 5x + -5x = 0
-22 + -2x = 38 + 0
-22 + -2x = 38

Add '22' to each side of the equation.
-22 + 22 + -2x = 38 + 22

Combine like terms: -22 + 22 = 0
0 + -2x = 38 + 22
-2x = 38 + 22

Combine like terms: 38 + 22 = 60
-2x = 60

Divide each side by '-2'.
x = -30

Simplifying
x = -30

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