3(n+5)-8=10n

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Solution for 3(n+5)-8=10n equation: 


Simplifying
3(n + 5) + -8 = 10n

Reorder the terms:
3(5 + n) + -8 = 10n
(5 * 3 + n * 3) + -8 = 10n
(15 + 3n) + -8 = 10n

Reorder the terms:
15 + -8 + 3n = 10n

Combine like terms: 15 + -8 = 7
7 + 3n = 10n

Solving
7 + 3n = 10n

Solving for variable 'n'.

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

Add '-10n' to each side of the equation.
7 + 3n + -10n = 10n + -10n

Combine like terms: 3n + -10n = -7n
7 + -7n = 10n + -10n

Combine like terms: 10n + -10n = 0
7 + -7n = 0

Add '-7' to each side of the equation.
7 + -7 + -7n = 0 + -7

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

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

Divide each side by '-7'.
n = 1

Simplifying
n = 1

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