x*6+71=x*11-9

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Solution for x*6+71=x*11-9 equation: 


Simplifying
x * 6 + 71 = x * 11 + -9

Reorder the terms for easier multiplication:
6x + 71 = x * 11 + -9

Reorder the terms:
71 + 6x = x * 11 + -9

Reorder the terms for easier multiplication:
71 + 6x = 11x + -9

Reorder the terms:
71 + 6x = -9 + 11x

Solving
71 + 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.
71 + 6x + -11x = -9 + 11x + -11x

Combine like terms: 6x + -11x = -5x
71 + -5x = -9 + 11x + -11x

Combine like terms: 11x + -11x = 0
71 + -5x = -9 + 0
71 + -5x = -9

Add '-71' to each side of the equation.
71 + -71 + -5x = -9 + -71

Combine like terms: 71 + -71 = 0
0 + -5x = -9 + -71
-5x = -9 + -71

Combine like terms: -9 + -71 = -80
-5x = -80

Divide each side by '-5'.
x = 16

Simplifying
x = 16

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