2x+22=10x-75

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Solution for 2x+22=10x-75 equation:


Simplifying
2x + 22 = 10x + -75

Reorder the terms:
22 + 2x = 10x + -75

Reorder the terms:
22 + 2x = -75 + 10x

Solving
22 + 2x = -75 + 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 + 2x + -10x = -75 + 10x + -10x

Combine like terms: 2x + -10x = -8x
22 + -8x = -75 + 10x + -10x

Combine like terms: 10x + -10x = 0
22 + -8x = -75 + 0
22 + -8x = -75

Add '-22' to each side of the equation.
22 + -22 + -8x = -75 + -22

Combine like terms: 22 + -22 = 0
0 + -8x = -75 + -22
-8x = -75 + -22

Combine like terms: -75 + -22 = -97
-8x = -97

Divide each side by '-8'.
x = 12.125

Simplifying
x = 12.125

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