3n+7(n-5)=105

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Solution for 3n+7(n-5)=105 equation:


Simplifying
3n + 7(n + -5) = 105

Reorder the terms:
3n + 7(-5 + n) = 105
3n + (-5 * 7 + n * 7) = 105
3n + (-35 + 7n) = 105

Reorder the terms:
-35 + 3n + 7n = 105

Combine like terms: 3n + 7n = 10n
-35 + 10n = 105

Solving
-35 + 10n = 105

Solving for variable 'n'.

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

Add '35' to each side of the equation.
-35 + 35 + 10n = 105 + 35

Combine like terms: -35 + 35 = 0
0 + 10n = 105 + 35
10n = 105 + 35

Combine like terms: 105 + 35 = 140
10n = 140

Divide each side by '10'.
n = 14

Simplifying
n = 14

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