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

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

Simplifying
2(3 + 5n) = (2n + -3)
(3 * 2 + 5n * 2) = (2n + -3)
(6 + 10n) = (2n + -3)

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

Remove parenthesis around (-3 + 2n)
6 + 10n = -3 + 2n

Solving
6 + 10n = -3 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
6 + 10n + -2n = -3 + 2n + -2n

Combine like terms: 10n + -2n = 8n
6 + 8n = -3 + 2n + -2n

Combine like terms: 2n + -2n = 0
6 + 8n = -3 + 0
6 + 8n = -3

Add '-6' to each side of the equation.
6 + -6 + 8n = -3 + -6

Combine like terms: 6 + -6 = 0
0 + 8n = -3 + -6
8n = -3 + -6

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

Divide each side by '8'.
n = -1.125

Simplifying
n = -1.125