5x+22=11x-74

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Solution for 5x+22=11x-74 equation:


Simplifying
5x + 22 = 11x + -74

Reorder the terms:
22 + 5x = 11x + -74

Reorder the terms:
22 + 5x = -74 + 11x

Solving
22 + 5x = -74 + 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 + 5x + -11x = -74 + 11x + -11x

Combine like terms: 5x + -11x = -6x
22 + -6x = -74 + 11x + -11x

Combine like terms: 11x + -11x = 0
22 + -6x = -74 + 0
22 + -6x = -74

Add '-22' to each side of the equation.
22 + -22 + -6x = -74 + -22

Combine like terms: 22 + -22 = 0
0 + -6x = -74 + -22
-6x = -74 + -22

Combine like terms: -74 + -22 = -96
-6x = -96

Divide each side by '-6'.
x = 16

Simplifying
x = 16

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