0.8(3n+2)=0.5

Solution for 0.8(3n+2)=0.5 equation:

Simplifying
0.8(3n + 2) = 0.5

Reorder the terms:
0.8(2 + 3n) = 0.5
(2 * 0.8 + 3n * 0.8) = 0.5
(1.6 + 2.4n) = 0.5

Solving
1.6 + 2.4n = 0.5

Solving for variable 'n'.

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

Add '-1.6' to each side of the equation.
1.6 + -1.6 + 2.4n = 0.5 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + 2.4n = 0.5 + -1.6
2.4n = 0.5 + -1.6

Combine like terms: 0.5 + -1.6 = -1.1
2.4n = -1.1

Divide each side by '2.4'.
n = -0.4583333333

Simplifying
n = -0.4583333333