5n+7=3n+8

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Solution for 5n+7=3n+8 equation:


Simplifying
5n + 7 = 3n + 8

Reorder the terms:
7 + 5n = 3n + 8

Reorder the terms:
7 + 5n = 8 + 3n

Solving
7 + 5n = 8 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
7 + 5n + -3n = 8 + 3n + -3n

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

Combine like terms: 3n + -3n = 0
7 + 2n = 8 + 0
7 + 2n = 8

Add '-7' to each side of the equation.
7 + -7 + 2n = 8 + -7

Combine like terms: 7 + -7 = 0
0 + 2n = 8 + -7
2n = 8 + -7

Combine like terms: 8 + -7 = 1
2n = 1

Divide each side by '2'.
n = 0.5

Simplifying
n = 0.5

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