4x+22=13x-77

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Solution for 4x+22=13x-77 equation:


Simplifying
4x + 22 = 13x + -77

Reorder the terms:
22 + 4x = 13x + -77

Reorder the terms:
22 + 4x = -77 + 13x

Solving
22 + 4x = -77 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
22 + 4x + -13x = -77 + 13x + -13x

Combine like terms: 4x + -13x = -9x
22 + -9x = -77 + 13x + -13x

Combine like terms: 13x + -13x = 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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