5x-22=7x+10

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


Simplifying
5x + -22 = 7x + 10

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

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

Solving
-22 + 5x = 10 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-22 + 5x + -7x = 10 + 7x + -7x

Combine like terms: 5x + -7x = -2x
-22 + -2x = 10 + 7x + -7x

Combine like terms: 7x + -7x = 0
-22 + -2x = 10 + 0
-22 + -2x = 10

Add '22' to each side of the equation.
-22 + 22 + -2x = 10 + 22

Combine like terms: -22 + 22 = 0
0 + -2x = 10 + 22
-2x = 10 + 22

Combine like terms: 10 + 22 = 32
-2x = 32

Divide each side by '-2'.
x = -16

Simplifying
x = -16

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