3x+22=11x-58

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Solution for 3x+22=11x-58 equation:


Simplifying
3x + 22 = 11x + -58

Reorder the terms:
22 + 3x = 11x + -58

Reorder the terms:
22 + 3x = -58 + 11x

Solving
22 + 3x = -58 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
22 + 3x + -11x = -58 + 11x + -11x

Combine like terms: 3x + -11x = -8x
22 + -8x = -58 + 11x + -11x

Combine like terms: 11x + -11x = 0
22 + -8x = -58 + 0
22 + -8x = -58

Add '-22' to each side of the equation.
22 + -22 + -8x = -58 + -22

Combine like terms: 22 + -22 = 0
0 + -8x = -58 + -22
-8x = -58 + -22

Combine like terms: -58 + -22 = -80
-8x = -80

Divide each side by '-8'.
x = 10

Simplifying
x = 10

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