x*6+71=x*9-13

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Solution for x*6+71=x*9-13 equation: 


Simplifying
x * 6 + 71 = x * 9 + -13

Reorder the terms for easier multiplication:
6x + 71 = x * 9 + -13

Reorder the terms:
71 + 6x = x * 9 + -13

Reorder the terms for easier multiplication:
71 + 6x = 9x + -13

Reorder the terms:
71 + 6x = -13 + 9x

Solving
71 + 6x = -13 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
71 + 6x + -9x = -13 + 9x + -9x

Combine like terms: 6x + -9x = -3x
71 + -3x = -13 + 9x + -9x

Combine like terms: 9x + -9x = 0
71 + -3x = -13 + 0
71 + -3x = -13

Add '-71' to each side of the equation.
71 + -71 + -3x = -13 + -71

Combine like terms: 71 + -71 = 0
0 + -3x = -13 + -71
-3x = -13 + -71

Combine like terms: -13 + -71 = -84
-3x = -84

Divide each side by '-3'.
x = 28

Simplifying
x = 28

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