7x-71=5x-13

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Solution for 7x-71=5x-13 equation:


Simplifying
7x + -71 = 5x + -13

Reorder the terms:
-71 + 7x = 5x + -13

Reorder the terms:
-71 + 7x = -13 + 5x

Solving
-71 + 7x = -13 + 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.
-71 + 7x + -5x = -13 + 5x + -5x

Combine like terms: 7x + -5x = 2x
-71 + 2x = -13 + 5x + -5x

Combine like terms: 5x + -5x = 0
-71 + 2x = -13 + 0
-71 + 2x = -13

Add '71' to each side of the equation.
-71 + 71 + 2x = -13 + 71

Combine like terms: -71 + 71 = 0
0 + 2x = -13 + 71
2x = -13 + 71

Combine like terms: -13 + 71 = 58
2x = 58

Divide each side by '2'.
x = 29

Simplifying
x = 29

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