0.5(2n-3)-0.1=0.4(6+2n)

Solution for 0.5(2n-3)-0.1=0.4(6+2n) equation:

0.5(2n-3)-0.1=0.4(6+2n)

We simplify the equation to the form, which is simple to understand 
0.5(2n-3)-0.1=0.4(6+2n)

Reorder the terms in parentheses
+(+1n-1.5)-0.1=0.4*(6+2n)

Remove unnecessary parentheses
+1n-1.5-0.1=0.4+*(+6+2n+)

Reorder the terms in parentheses
+1n-1.5-0.1=+(+2.4 + 0.8n)

Remove unnecessary parentheses
+1n-1.5-0.1=+2.4 + 0.8n

We move all terms containing n to the left and all other terms to the right. 
+1n-0.8n=+2.4+1.5 + 0.1

We simplify left and right side of the equation. 
 + 0.2n=+4

We divide both sides of the equation by 0.2 to get n. 
n=20