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

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

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

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

Reorder the terms:
-6 + 6n = 5(5 + n)
-6 + 6n = (5 * 5 + n * 5)
-6 + 6n = (25 + 5n)

Solving
-6 + 6n = 25 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
-6 + 6n + -5n = 25 + 5n + -5n

Combine like terms: 6n + -5n = 1n
-6 + 1n = 25 + 5n + -5n

Combine like terms: 5n + -5n = 0
-6 + 1n = 25 + 0
-6 + 1n = 25

Add '6' to each side of the equation.
-6 + 6 + 1n = 25 + 6

Combine like terms: -6 + 6 = 0
0 + 1n = 25 + 6
1n = 25 + 6

Combine like terms: 25 + 6 = 31
1n = 31

Divide each side by '1'.
n = 31

Simplifying
n = 31