105-2x+17+3x=5x-22

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Solution for 105-2x+17+3x=5x-22 equation:


Simplifying
105 + -2x + 17 + 3x = 5x + -22

Reorder the terms:
105 + 17 + -2x + 3x = 5x + -22

Combine like terms: 105 + 17 = 122
122 + -2x + 3x = 5x + -22

Combine like terms: -2x + 3x = 1x
122 + 1x = 5x + -22

Reorder the terms:
122 + 1x = -22 + 5x

Solving
122 + 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.
122 + 1x + -5x = -22 + 5x + -5x

Combine like terms: 1x + -5x = -4x
122 + -4x = -22 + 5x + -5x

Combine like terms: 5x + -5x = 0
122 + -4x = -22 + 0
122 + -4x = -22

Add '-122' to each side of the equation.
122 + -122 + -4x = -22 + -122

Combine like terms: 122 + -122 = 0
0 + -4x = -22 + -122
-4x = -22 + -122

Combine like terms: -22 + -122 = -144
-4x = -144

Divide each side by '-4'.
x = 36

Simplifying
x = 36

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