2(5n+3)=8n+(n+3)

Solution for 2(5n+3)=8n+(n+3) equation:

Simplifying
2(5n + 3) = 8n + (n + 3)

Reorder the terms:
2(3 + 5n) = 8n + (n + 3)
(3 * 2 + 5n * 2) = 8n + (n + 3)
(6 + 10n) = 8n + (n + 3)

Reorder the terms:
6 + 10n = 8n + (3 + n)

Remove parenthesis around (3 + n)
6 + 10n = 8n + 3 + n

Reorder the terms:
6 + 10n = 3 + 8n + n

Combine like terms: 8n + n = 9n
6 + 10n = 3 + 9n

Solving
6 + 10n = 3 + 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
6 + 10n + -9n = 3 + 9n + -9n

Combine like terms: 10n + -9n = 1n
6 + 1n = 3 + 9n + -9n

Combine like terms: 9n + -9n = 0
6 + 1n = 3 + 0
6 + 1n = 3

Add '-6' to each side of the equation.
6 + -6 + 1n = 3 + -6

Combine like terms: 6 + -6 = 0
0 + 1n = 3 + -6
1n = 3 + -6

Combine like terms: 3 + -6 = -3
1n = -3

Divide each side by '1'.
n = -3

Simplifying
n = -3