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

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

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

Solving
6 = -6

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.