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

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

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

Reorder the terms:
3(-5 + n) = 2(n + 2)
(-5 * 3 + n * 3) = 2(n + 2)
(-15 + 3n) = 2(n + 2)

Reorder the terms:
-15 + 3n = 2(2 + n)
-15 + 3n = (2 * 2 + n * 2)
-15 + 3n = (4 + 2n)

Solving
-15 + 3n = 4 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
-15 + 3n + -2n = 4 + 2n + -2n

Combine like terms: 3n + -2n = 1n
-15 + 1n = 4 + 2n + -2n

Combine like terms: 2n + -2n = 0
-15 + 1n = 4 + 0
-15 + 1n = 4

Add '15' to each side of the equation.
-15 + 15 + 1n = 4 + 15

Combine like terms: -15 + 15 = 0
0 + 1n = 4 + 15
1n = 4 + 15

Combine like terms: 4 + 15 = 19
1n = 19

Divide each side by '1'.
n = 19

Simplifying
n = 19