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

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

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

Reorder the terms:
5(-4 + n) = 3(n + 2)
(-4 * 5 + n * 5) = 3(n + 2)
(-20 + 5n) = 3(n + 2)

Reorder the terms:
-20 + 5n = 3(2 + n)
-20 + 5n = (2 * 3 + n * 3)
-20 + 5n = (6 + 3n)

Solving
-20 + 5n = 6 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
-20 + 5n + -3n = 6 + 3n + -3n

Combine like terms: 5n + -3n = 2n
-20 + 2n = 6 + 3n + -3n

Combine like terms: 3n + -3n = 0
-20 + 2n = 6 + 0
-20 + 2n = 6

Add '20' to each side of the equation.
-20 + 20 + 2n = 6 + 20

Combine like terms: -20 + 20 = 0
0 + 2n = 6 + 20
2n = 6 + 20

Combine like terms: 6 + 20 = 26
2n = 26

Divide each side by '2'.
n = 13

Simplifying
n = 13