3x+22-x=7+5x-6

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Solution for 3x+22-x=7+5x-6 equation:


Simplifying
3x + 22 + -1x = 7 + 5x + -6

Reorder the terms:
22 + 3x + -1x = 7 + 5x + -6

Combine like terms: 3x + -1x = 2x
22 + 2x = 7 + 5x + -6

Reorder the terms:
22 + 2x = 7 + -6 + 5x

Combine like terms: 7 + -6 = 1
22 + 2x = 1 + 5x

Solving
22 + 2x = 1 + 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 + 2x + -5x = 1 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
22 + -3x = 1 + 0
22 + -3x = 1

Add '-22' to each side of the equation.
22 + -22 + -3x = 1 + -22

Combine like terms: 22 + -22 = 0
0 + -3x = 1 + -22
-3x = 1 + -22

Combine like terms: 1 + -22 = -21
-3x = -21

Divide each side by '-3'.
x = 7

Simplifying
x = 7

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