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

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

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

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

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

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

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

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

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

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

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