3n-5=(0.5)(6+5n)

Solution for 3n-5=(0.5)(6+5n) equation:

Simplifying
3n + -5 = (0.5)(6 + 5n)

Reorder the terms:
-5 + 3n = (0.5)(6 + 5n)
-5 + 3n = (6 * 0.5 + 5n * 0.5)
-5 + 3n = (3 + 2.5n)

Solving
-5 + 3n = 3 + 2.5n

Solving for variable 'n'.

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

Add '-2.5n' to each side of the equation.
-5 + 3n + -2.5n = 3 + 2.5n + -2.5n

Combine like terms: 3n + -2.5n = 0.5n
-5 + 0.5n = 3 + 2.5n + -2.5n

Combine like terms: 2.5n + -2.5n = 0.0
-5 + 0.5n = 3 + 0.0
-5 + 0.5n = 3

Add '5' to each side of the equation.
-5 + 5 + 0.5n = 3 + 5

Combine like terms: -5 + 5 = 0
0 + 0.5n = 3 + 5
0.5n = 3 + 5

Combine like terms: 3 + 5 = 8
0.5n = 8

Divide each side by '0.5'.
n = 16

Simplifying
n = 16