5n+2(n-3)=92

Solution for 5n+2(n-3)=92 equation:

Simplifying
5n + 2(n + -3) = 92

Reorder the terms:
5n + 2(-3 + n) = 92
5n + (-3 * 2 + n * 2) = 92
5n + (-6 + 2n) = 92

Reorder the terms:
-6 + 5n + 2n = 92

Combine like terms: 5n + 2n = 7n
-6 + 7n = 92

Solving
-6 + 7n = 92

Solving for variable 'n'.

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

Add '6' to each side of the equation.
-6 + 6 + 7n = 92 + 6

Combine like terms: -6 + 6 = 0
0 + 7n = 92 + 6
7n = 92 + 6

Combine like terms: 92 + 6 = 98
7n = 98

Divide each side by '7'.
n = 14

Simplifying
n = 14