10x-22=5x+7

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Solution for 10x-22=5x+7 equation:


Simplifying
10x + -22 = 5x + 7

Reorder the terms:
-22 + 10x = 5x + 7

Reorder the terms:
-22 + 10x = 7 + 5x

Solving
-22 + 10x = 7 + 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 = 7 + 5x + -5x

Combine like terms: 10x + -5x = 5x
-22 + 5x = 7 + 5x + -5x

Combine like terms: 5x + -5x = 0
-22 + 5x = 7 + 0
-22 + 5x = 7

Add '22' to each side of the equation.
-22 + 22 + 5x = 7 + 22

Combine like terms: -22 + 22 = 0
0 + 5x = 7 + 22
5x = 7 + 22

Combine like terms: 7 + 22 = 29
5x = 29

Divide each side by '5'.
x = 5.8

Simplifying
x = 5.8

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