3x+22=10x-55

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Solution for 3x+22=10x-55 equation:


Simplifying
3x + 22 = 10x + -55

Reorder the terms:
22 + 3x = 10x + -55

Reorder the terms:
22 + 3x = -55 + 10x

Solving
22 + 3x = -55 + 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 + 3x + -10x = -55 + 10x + -10x

Combine like terms: 3x + -10x = -7x
22 + -7x = -55 + 10x + -10x

Combine like terms: 10x + -10x = 0
22 + -7x = -55 + 0
22 + -7x = -55

Add '-22' to each side of the equation.
22 + -22 + -7x = -55 + -22

Combine like terms: 22 + -22 = 0
0 + -7x = -55 + -22
-7x = -55 + -22

Combine like terms: -55 + -22 = -77
-7x = -77

Divide each side by '-7'.
x = 11

Simplifying
x = 11

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