5x+84=11x-6

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Solution for 5x+84=11x-6 equation:


Simplifying
5x + 84 = 11x + -6

Reorder the terms:
84 + 5x = 11x + -6

Reorder the terms:
84 + 5x = -6 + 11x

Solving
84 + 5x = -6 + 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.
84 + 5x + -11x = -6 + 11x + -11x

Combine like terms: 5x + -11x = -6x
84 + -6x = -6 + 11x + -11x

Combine like terms: 11x + -11x = 0
84 + -6x = -6 + 0
84 + -6x = -6

Add '-84' to each side of the equation.
84 + -84 + -6x = -6 + -84

Combine like terms: 84 + -84 = 0
0 + -6x = -6 + -84
-6x = -6 + -84

Combine like terms: -6 + -84 = -90
-6x = -90

Divide each side by '-6'.
x = 15

Simplifying
x = 15

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