5x-2=22-x

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Solution for 5x-2=22-x equation:


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

Reorder the terms:
-2 + 5x = 22 + -1x

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

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-2 + 5x + x = 22 + -1x + x

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

Combine like terms: -1x + x = 0
-2 + 6x = 22 + 0
-2 + 6x = 22

Add '2' to each side of the equation.
-2 + 2 + 6x = 22 + 2

Combine like terms: -2 + 2 = 0
0 + 6x = 22 + 2
6x = 22 + 2

Combine like terms: 22 + 2 = 24
6x = 24

Divide each side by '6'.
x = 4

Simplifying
x = 4

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