10x+22=5x-18

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Solution for 10x+22=5x-18 equation:


Simplifying
10x + 22 = 5x + -18

Reorder the terms:
22 + 10x = 5x + -18

Reorder the terms:
22 + 10x = -18 + 5x

Solving
22 + 10x = -18 + 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 + 10x + -5x = -18 + 5x + -5x

Combine like terms: 10x + -5x = 5x
22 + 5x = -18 + 5x + -5x

Combine like terms: 5x + -5x = 0
22 + 5x = -18 + 0
22 + 5x = -18

Add '-22' to each side of the equation.
22 + -22 + 5x = -18 + -22

Combine like terms: 22 + -22 = 0
0 + 5x = -18 + -22
5x = -18 + -22

Combine like terms: -18 + -22 = -40
5x = -40

Divide each side by '5'.
x = -8

Simplifying
x = -8

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