2(5n+3)-3(2n-4)=

Solution for 2(5n+3)-3(2n-4)= equation:

Simplifying
2(5n + 3) + -3(2n + -4) = 0

Reorder the terms:
2(3 + 5n) + -3(2n + -4) = 0
(3 * 2 + 5n * 2) + -3(2n + -4) = 0
(6 + 10n) + -3(2n + -4) = 0

Reorder the terms:
6 + 10n + -3(-4 + 2n) = 0
6 + 10n + (-4 * -3 + 2n * -3) = 0
6 + 10n + (12 + -6n) = 0

Reorder the terms:
6 + 12 + 10n + -6n = 0

Combine like terms: 6 + 12 = 18
18 + 10n + -6n = 0

Combine like terms: 10n + -6n = 4n
18 + 4n = 0

Solving
18 + 4n = 0

Solving for variable 'n'.

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

Add '-18' to each side of the equation.
18 + -18 + 4n = 0 + -18

Combine like terms: 18 + -18 = 0
0 + 4n = 0 + -18
4n = 0 + -18

Combine like terms: 0 + -18 = -18
4n = -18

Divide each side by '4'.
n = -4.5

Simplifying
n = -4.5