.5(2n+6)=.2(8n-10)

Solution for .5(2n+6)=.2(8n-10) equation:

Simplifying
0.5(2n + 6) = 0.2(8n + -10)

Reorder the terms:
0.5(6 + 2n) = 0.2(8n + -10)
(6 * 0.5 + 2n * 0.5) = 0.2(8n + -10)
(3 + 1n) = 0.2(8n + -10)

Reorder the terms:
3 + 1n = 0.2(-10 + 8n)
3 + 1n = (-10 * 0.2 + 8n * 0.2)
3 + 1n = (-2 + 1.6n)

Solving
3 + 1n = -2 + 1.6n

Solving for variable 'n'.

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

Add '-1.6n' to each side of the equation.
3 + 1n + -1.6n = -2 + 1.6n + -1.6n

Combine like terms: 1n + -1.6n = -0.6n
3 + -0.6n = -2 + 1.6n + -1.6n

Combine like terms: 1.6n + -1.6n = 0.0
3 + -0.6n = -2 + 0.0
3 + -0.6n = -2

Add '-3' to each side of the equation.
3 + -3 + -0.6n = -2 + -3

Combine like terms: 3 + -3 = 0
0 + -0.6n = -2 + -3
-0.6n = -2 + -3

Combine like terms: -2 + -3 = -5
-0.6n = -5

Divide each side by '-0.6'.
n = 8.333333333

Simplifying
n = 8.333333333