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

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

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

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

Reorder the terms:
-6 + 2n = 5(3 + n)
-6 + 2n = (3 * 5 + n * 5)
-6 + 2n = (15 + 5n)

Solving
-6 + 2n = 15 + 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 + 2n + -5n = 15 + 5n + -5n

Combine like terms: 2n + -5n = -3n
-6 + -3n = 15 + 5n + -5n

Combine like terms: 5n + -5n = 0
-6 + -3n = 15 + 0
-6 + -3n = 15

Add '6' to each side of the equation.
-6 + 6 + -3n = 15 + 6

Combine like terms: -6 + 6 = 0
0 + -3n = 15 + 6
-3n = 15 + 6

Combine like terms: 15 + 6 = 21
-3n = 21

Divide each side by '-3'.
n = -7

Simplifying
n = -7