6x+91=11x-9

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Solution for 6x+91=11x-9 equation:


Simplifying
6x + 91 = 11x + -9

Reorder the terms:
91 + 6x = 11x + -9

Reorder the terms:
91 + 6x = -9 + 11x

Solving
91 + 6x = -9 + 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.
91 + 6x + -11x = -9 + 11x + -11x

Combine like terms: 6x + -11x = -5x
91 + -5x = -9 + 11x + -11x

Combine like terms: 11x + -11x = 0
91 + -5x = -9 + 0
91 + -5x = -9

Add '-91' to each side of the equation.
91 + -91 + -5x = -9 + -91

Combine like terms: 91 + -91 = 0
0 + -5x = -9 + -91
-5x = -9 + -91

Combine like terms: -9 + -91 = -100
-5x = -100

Divide each side by '-5'.
x = 20

Simplifying
x = 20

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