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

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

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

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

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

Reorder the terms:
6 + 10n = 6 + 8n + 2n

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

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

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

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

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.