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

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

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

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

Reorder the terms:
15 + -3n = 2(-3 + 2n)
15 + -3n = (-3 * 2 + 2n * 2)
15 + -3n = (-6 + 4n)

Solving
15 + -3n = -6 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
15 + -3n + -4n = -6 + 4n + -4n

Combine like terms: -3n + -4n = -7n
15 + -7n = -6 + 4n + -4n

Combine like terms: 4n + -4n = 0
15 + -7n = -6 + 0
15 + -7n = -6

Add '-15' to each side of the equation.
15 + -15 + -7n = -6 + -15

Combine like terms: 15 + -15 = 0
0 + -7n = -6 + -15
-7n = -6 + -15

Combine like terms: -6 + -15 = -21
-7n = -21

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

Simplifying
n = 3