-3(2n-5)=0.5(-12n+30n)

Solution for -3(2n-5)=0.5(-12n+30n) equation:

Simplifying
-3(2n + -5) = 0.5(-12n + 30n)

Reorder the terms:
-3(-5 + 2n) = 0.5(-12n + 30n)
(-5 * -3 + 2n * -3) = 0.5(-12n + 30n)
(15 + -6n) = 0.5(-12n + 30n)

Combine like terms: -12n + 30n = 18n
15 + -6n = 0.5(18n)

Remove parenthesis around (18n)
15 + -6n = 0.5 * 18n

Multiply 0.5 * 18
15 + -6n = 9n

Solving
15 + -6n = 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
15 + -6n + -9n = 9n + -9n

Combine like terms: -6n + -9n = -15n
15 + -15n = 9n + -9n

Combine like terms: 9n + -9n = 0
15 + -15n = 0

Add '-15' to each side of the equation.
15 + -15 + -15n = 0 + -15

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

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

Divide each side by '-15'.
n = 1

Simplifying
n = 1