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

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

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

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

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

Solving
-6 + 3n = -10 + 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 + 3n + -5n = -10 + 5n + -5n

Combine like terms: 3n + -5n = -2n
-6 + -2n = -10 + 5n + -5n

Combine like terms: 5n + -5n = 0
-6 + -2n = -10 + 0
-6 + -2n = -10

Add '6' to each side of the equation.
-6 + 6 + -2n = -10 + 6

Combine like terms: -6 + 6 = 0
0 + -2n = -10 + 6
-2n = -10 + 6

Combine like terms: -10 + 6 = -4
-2n = -4

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

Simplifying
n = 2