5n+3=7n-5

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Solution for 5n+3=7n-5 equation:


Simplifying
5n + 3 = 7n + -5

Reorder the terms:
3 + 5n = 7n + -5

Reorder the terms:
3 + 5n = -5 + 7n

Solving
3 + 5n = -5 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
3 + 5n + -7n = -5 + 7n + -7n

Combine like terms: 5n + -7n = -2n
3 + -2n = -5 + 7n + -7n

Combine like terms: 7n + -7n = 0
3 + -2n = -5 + 0
3 + -2n = -5

Add '-3' to each side of the equation.
3 + -3 + -2n = -5 + -3

Combine like terms: 3 + -3 = 0
0 + -2n = -5 + -3
-2n = -5 + -3

Combine like terms: -5 + -3 = -8
-2n = -8

Divide each side by '-2'.
n = 4

Simplifying
n = 4

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