4x+-9x+22=3x+50

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Solution for 4x+-9x+22=3x+50 equation:


Simplifying
4x + -9x + 22 = 3x + 50

Reorder the terms:
22 + 4x + -9x = 3x + 50

Combine like terms: 4x + -9x = -5x
22 + -5x = 3x + 50

Reorder the terms:
22 + -5x = 50 + 3x

Solving
22 + -5x = 50 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
22 + -5x + -3x = 50 + 3x + -3x

Combine like terms: -5x + -3x = -8x
22 + -8x = 50 + 3x + -3x

Combine like terms: 3x + -3x = 0
22 + -8x = 50 + 0
22 + -8x = 50

Add '-22' to each side of the equation.
22 + -22 + -8x = 50 + -22

Combine like terms: 22 + -22 = 0
0 + -8x = 50 + -22
-8x = 50 + -22

Combine like terms: 50 + -22 = 28
-8x = 28

Divide each side by '-8'.
x = -3.5

Simplifying
x = -3.5

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