10x+22=8-3x

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Solution for 10x+22=8-3x equation:


Simplifying
10x + 22 = 8 + -3x

Reorder the terms:
22 + 10x = 8 + -3x

Solving
22 + 10x = 8 + -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 + 10x + 3x = 8 + -3x + 3x

Combine like terms: 10x + 3x = 13x
22 + 13x = 8 + -3x + 3x

Combine like terms: -3x + 3x = 0
22 + 13x = 8 + 0
22 + 13x = 8

Add '-22' to each side of the equation.
22 + -22 + 13x = 8 + -22

Combine like terms: 22 + -22 = 0
0 + 13x = 8 + -22
13x = 8 + -22

Combine like terms: 8 + -22 = -14
13x = -14

Divide each side by '13'.
x = -1.076923077

Simplifying
x = -1.076923077

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