0.2(6n+5)=0.5(2n-8)+3

Solution for 0.2(6n+5)=0.5(2n-8)+3 equation:

Simplifying
0.2(6n + 5) = 0.5(2n + -8) + 3

Reorder the terms:
0.2(5 + 6n) = 0.5(2n + -8) + 3
(5 * 0.2 + 6n * 0.2) = 0.5(2n + -8) + 3
(1 + 1.2n) = 0.5(2n + -8) + 3

Reorder the terms:
1 + 1.2n = 0.5(-8 + 2n) + 3
1 + 1.2n = (-8 * 0.5 + 2n * 0.5) + 3
1 + 1.2n = (-4 + 1n) + 3

Reorder the terms:
1 + 1.2n = -4 + 3 + 1n

Combine like terms: -4 + 3 = -1
1 + 1.2n = -1 + 1n

Solving
1 + 1.2n = -1 + 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 = -1 + 1n + -1n

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

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

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

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

Combine like terms: -1 + -1 = -2
0.2n = -2

Divide each side by '0.2'.
n = -10

Simplifying
n = -10