3x+10=22-x

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Solution for 3x+10=22-x equation:


Simplifying
3x + 10 = 22 + -1x

Reorder the terms:
10 + 3x = 22 + -1x

Solving
10 + 3x = 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.
10 + 3x + x = 22 + -1x + x

Combine like terms: 3x + x = 4x
10 + 4x = 22 + -1x + x

Combine like terms: -1x + x = 0
10 + 4x = 22 + 0
10 + 4x = 22

Add '-10' to each side of the equation.
10 + -10 + 4x = 22 + -10

Combine like terms: 10 + -10 = 0
0 + 4x = 22 + -10
4x = 22 + -10

Combine like terms: 22 + -10 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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