2n+7=5n-8

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Solution for 2n+7=5n-8 equation:


Simplifying
2n + 7 = 5n + -8

Reorder the terms:
7 + 2n = 5n + -8

Reorder the terms:
7 + 2n = -8 + 5n

Solving
7 + 2n = -8 + 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.
7 + 2n + -5n = -8 + 5n + -5n

Combine like terms: 2n + -5n = -3n
7 + -3n = -8 + 5n + -5n

Combine like terms: 5n + -5n = 0
7 + -3n = -8 + 0
7 + -3n = -8

Add '-7' to each side of the equation.
7 + -7 + -3n = -8 + -7

Combine like terms: 7 + -7 = 0
0 + -3n = -8 + -7
-3n = -8 + -7

Combine like terms: -8 + -7 = -15
-3n = -15

Divide each side by '-3'.
n = 5

Simplifying
n = 5

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