3n+5=5n-7

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


Simplifying
3n + 5 = 5n + -7

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

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

Solving
5 + 3n = -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 + 3n + -5n = -7 + 5n + -5n

Combine like terms: 3n + -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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