.50(2n-6)=3(2n-6)

Solution for .50(2n-6)=3(2n-6) equation:

Simplifying
0.50(2n + -6) = 3(2n + -6)

Reorder the terms:
0.50(-6 + 2n) = 3(2n + -6)
(-6 * 0.50 + 2n * 0.50) = 3(2n + -6)
(-3 + 1n) = 3(2n + -6)

Reorder the terms:
-3 + 1n = 3(-6 + 2n)
-3 + 1n = (-6 * 3 + 2n * 3)
-3 + 1n = (-18 + 6n)

Solving
-3 + 1n = -18 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
-3 + 1n + -6n = -18 + 6n + -6n

Combine like terms: 1n + -6n = -5n
-3 + -5n = -18 + 6n + -6n

Combine like terms: 6n + -6n = 0
-3 + -5n = -18 + 0
-3 + -5n = -18

Add '3' to each side of the equation.
-3 + 3 + -5n = -18 + 3

Combine like terms: -3 + 3 = 0
0 + -5n = -18 + 3
-5n = -18 + 3

Combine like terms: -18 + 3 = -15
-5n = -15

Divide each side by '-5'.
n = 3

Simplifying
n = 3