3(1+4n)-2(5n-3)=5

Solution for 3(1+4n)-2(5n-3)=5 equation:

Simplifying
3(1 + 4n) + -2(5n + -3) = 5
(1 * 3 + 4n * 3) + -2(5n + -3) = 5
(3 + 12n) + -2(5n + -3) = 5

Reorder the terms:
3 + 12n + -2(-3 + 5n) = 5
3 + 12n + (-3 * -2 + 5n * -2) = 5
3 + 12n + (6 + -10n) = 5

Reorder the terms:
3 + 6 + 12n + -10n = 5

Combine like terms: 3 + 6 = 9
9 + 12n + -10n = 5

Combine like terms: 12n + -10n = 2n
9 + 2n = 5

Solving
9 + 2n = 5

Solving for variable 'n'.

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

Add '-9' to each side of the equation.
9 + -9 + 2n = 5 + -9

Combine like terms: 9 + -9 = 0
0 + 2n = 5 + -9
2n = 5 + -9

Combine like terms: 5 + -9 = -4
2n = -4

Divide each side by '2'.
n = -2

Simplifying
n = -2