7x+22=10x-2

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Solution for 7x+22=10x-2 equation:


Simplifying
7x + 22 = 10x + -2

Reorder the terms:
22 + 7x = 10x + -2

Reorder the terms:
22 + 7x = -2 + 10x

Solving
22 + 7x = -2 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
22 + 7x + -10x = -2 + 10x + -10x

Combine like terms: 7x + -10x = -3x
22 + -3x = -2 + 10x + -10x

Combine like terms: 10x + -10x = 0
22 + -3x = -2 + 0
22 + -3x = -2

Add '-22' to each side of the equation.
22 + -22 + -3x = -2 + -22

Combine like terms: 22 + -22 = 0
0 + -3x = -2 + -22
-3x = -2 + -22

Combine like terms: -2 + -22 = -24
-3x = -24

Divide each side by '-3'.
x = 8

Simplifying
x = 8

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