3x+8=x+22

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Solution for 3x+8=x+22 equation:


Simplifying
3x + 8 = x + 22

Reorder the terms:
8 + 3x = x + 22

Reorder the terms:
8 + 3x = 22 + x

Solving
8 + 3x = 22 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
8 + 3x + -1x = 22 + x + -1x

Combine like terms: 3x + -1x = 2x
8 + 2x = 22 + x + -1x

Combine like terms: x + -1x = 0
8 + 2x = 22 + 0
8 + 2x = 22

Add '-8' to each side of the equation.
8 + -8 + 2x = 22 + -8

Combine like terms: 8 + -8 = 0
0 + 2x = 22 + -8
2x = 22 + -8

Combine like terms: 22 + -8 = 14
2x = 14

Divide each side by '2'.
x = 7

Simplifying
x = 7

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