7n-5=5n+7

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Solution for 7n-5=5n+7 equation:


Simplifying
7n + -5 = 5n + 7

Reorder the terms:
-5 + 7n = 5n + 7

Reorder the terms:
-5 + 7n = 7 + 5n

Solving
-5 + 7n = 7 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
-5 + 7n + -5n = 7 + 5n + -5n

Combine like terms: 7n + -5n = 2n
-5 + 2n = 7 + 5n + -5n

Combine like terms: 5n + -5n = 0
-5 + 2n = 7 + 0
-5 + 2n = 7

Add '5' to each side of the equation.
-5 + 5 + 2n = 7 + 5

Combine like terms: -5 + 5 = 0
0 + 2n = 7 + 5
2n = 7 + 5

Combine like terms: 7 + 5 = 12
2n = 12

Divide each side by '2'.
n = 6

Simplifying
n = 6

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