5x+22=14x-77

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Solution for 5x+22=14x-77 equation:


Simplifying
5x + 22 = 14x + -77

Reorder the terms:
22 + 5x = 14x + -77

Reorder the terms:
22 + 5x = -77 + 14x

Solving
22 + 5x = -77 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
22 + 5x + -14x = -77 + 14x + -14x

Combine like terms: 5x + -14x = -9x
22 + -9x = -77 + 14x + -14x

Combine like terms: 14x + -14x = 0
22 + -9x = -77 + 0
22 + -9x = -77

Add '-22' to each side of the equation.
22 + -22 + -9x = -77 + -22

Combine like terms: 22 + -22 = 0
0 + -9x = -77 + -22
-9x = -77 + -22

Combine like terms: -77 + -22 = -99
-9x = -99

Divide each side by '-9'.
x = 11

Simplifying
x = 11

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