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

Solution for 0.5(2n-6)=0.2(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