5n-6=2(n+3)

Solution for 5n-6=2(n+3) equation:

Simplifying
5n + -6 = 2(n + 3)

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

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

Solving
-6 + 5n = 6 + 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.
-6 + 5n + -2n = 6 + 2n + -2n

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

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

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

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

Combine like terms: 6 + 6 = 12
3n = 12

Divide each side by '3'.
n = 4

Simplifying
n = 4