9x-13=-5x+71

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Solution for 9x-13=-5x+71 equation:


Simplifying
9x + -13 = -5x + 71

Reorder the terms:
-13 + 9x = -5x + 71

Reorder the terms:
-13 + 9x = 71 + -5x

Solving
-13 + 9x = 71 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-13 + 9x + 5x = 71 + -5x + 5x

Combine like terms: 9x + 5x = 14x
-13 + 14x = 71 + -5x + 5x

Combine like terms: -5x + 5x = 0
-13 + 14x = 71 + 0
-13 + 14x = 71

Add '13' to each side of the equation.
-13 + 13 + 14x = 71 + 13

Combine like terms: -13 + 13 = 0
0 + 14x = 71 + 13
14x = 71 + 13

Combine like terms: 71 + 13 = 84
14x = 84

Divide each side by '14'.
x = 6

Simplifying
x = 6

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