0.2(6n+5)=0.5(2n+8)

Solution for 0.2(6n+5)=0.5(2n+8) equation:

Simplifying
0.2(6n + 5) = 0.5(2n + 8)

Reorder the terms:
0.2(5 + 6n) = 0.5(2n + 8)
(5 * 0.2 + 6n * 0.2) = 0.5(2n + 8)
(1 + 1.2n) = 0.5(2n + 8)

Reorder the terms:
1 + 1.2n = 0.5(8 + 2n)
1 + 1.2n = (8 * 0.5 + 2n * 0.5)
1 + 1.2n = (4 + 1n)

Solving
1 + 1.2n = 4 + 1n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
1 + 1.2n + -1n = 4 + 1n + -1n

Combine like terms: 1.2n + -1n = 0.2n
1 + 0.2n = 4 + 1n + -1n

Combine like terms: 1n + -1n = 0
1 + 0.2n = 4 + 0
1 + 0.2n = 4

Add '-1' to each side of the equation.
1 + -1 + 0.2n = 4 + -1

Combine like terms: 1 + -1 = 0
0 + 0.2n = 4 + -1
0.2n = 4 + -1

Combine like terms: 4 + -1 = 3
0.2n = 3

Divide each side by '0.2'.
n = 15

Simplifying
n = 15