5x+22-100=11x-4+12

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Solution for 5x+22-100=11x-4+12 equation:


Simplifying
5x + 22 + -100 = 11x + -4 + 12

Reorder the terms:
22 + -100 + 5x = 11x + -4 + 12

Combine like terms: 22 + -100 = -78
-78 + 5x = 11x + -4 + 12

Reorder the terms:
-78 + 5x = -4 + 12 + 11x

Combine like terms: -4 + 12 = 8
-78 + 5x = 8 + 11x

Solving
-78 + 5x = 8 + 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.
-78 + 5x + -11x = 8 + 11x + -11x

Combine like terms: 5x + -11x = -6x
-78 + -6x = 8 + 11x + -11x

Combine like terms: 11x + -11x = 0
-78 + -6x = 8 + 0
-78 + -6x = 8

Add '78' to each side of the equation.
-78 + 78 + -6x = 8 + 78

Combine like terms: -78 + 78 = 0
0 + -6x = 8 + 78
-6x = 8 + 78

Combine like terms: 8 + 78 = 86
-6x = 86

Divide each side by '-6'.
x = -14.33333333

Simplifying
x = -14.33333333

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