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

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

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

Reorder the terms:
3(-3 + 2n) = 5(n + 1)
(-3 * 3 + 2n * 3) = 5(n + 1)
(-9 + 6n) = 5(n + 1)

Reorder the terms:
-9 + 6n = 5(1 + n)
-9 + 6n = (1 * 5 + n * 5)
-9 + 6n = (5 + 5n)

Solving
-9 + 6n = 5 + 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.
-9 + 6n + -5n = 5 + 5n + -5n

Combine like terms: 6n + -5n = 1n
-9 + 1n = 5 + 5n + -5n

Combine like terms: 5n + -5n = 0
-9 + 1n = 5 + 0
-9 + 1n = 5

Add '9' to each side of the equation.
-9 + 9 + 1n = 5 + 9

Combine like terms: -9 + 9 = 0
0 + 1n = 5 + 9
1n = 5 + 9

Combine like terms: 5 + 9 = 14
1n = 14

Divide each side by '1'.
n = 14

Simplifying
n = 14