2(n+5)+4(2n-1)=56

Solution for 2(n+5)+4(2n-1)=56 equation:

Simplifying
2(n + 5) + 4(2n + -1) = 56

Reorder the terms:
2(5 + n) + 4(2n + -1) = 56
(5 * 2 + n * 2) + 4(2n + -1) = 56
(10 + 2n) + 4(2n + -1) = 56

Reorder the terms:
10 + 2n + 4(-1 + 2n) = 56
10 + 2n + (-1 * 4 + 2n * 4) = 56
10 + 2n + (-4 + 8n) = 56

Reorder the terms:
10 + -4 + 2n + 8n = 56

Combine like terms: 10 + -4 = 6
6 + 2n + 8n = 56

Combine like terms: 2n + 8n = 10n
6 + 10n = 56

Solving
6 + 10n = 56

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 + 10n = 56 + -6

Combine like terms: 6 + -6 = 0
0 + 10n = 56 + -6
10n = 56 + -6

Combine like terms: 56 + -6 = 50
10n = 50

Divide each side by '10'.
n = 5

Simplifying
n = 5