1/5(5-g)-1/2(3-2g)=1/2(g)+1

Solution for 1/5(5-g)-1/2(3-2g)=1/2(g)+1 equation:

1/5(5-g)-1/2(3-2g)=1/2(g)+1

We simplify the equation to the form, which is simple to understand 
1/5(5-g)-1/2(3-2g)=1/2(g)+1

Simplifying:
 + 0.2*(5-g)-1/2*(3-2g)=1/2*(g)+1

Simplifying:
 + 0.2*(5-g)-0.5*(3-2g)=1/2*(g)+1

Simplifying:
 + 0.2*(5-g)-0.5*(3-2g)=0.5*(g)+1

Reorder the terms in parentheses
+(+1-0.2g)-0.5*(3-2g)=0.5*(g)+1

Remove unnecessary parentheses
+1-0.2g-0.5+*(+3-2g+)=0.5+*(+g+)+1

Reorder the terms in parentheses
+1-0.2g+(-1.5+1g)=0.5*(g)+1

Remove unnecessary parentheses
+1-0.2g-1.5+1g=0.5+*(+g+)+1

Reorder the terms in parentheses
+1-0.2g-1.5+1g=+( + 0.5g)+1

Remove unnecessary parentheses
+1-0.2g-1.5+1g=0.5g+1

We move all terms containing g to the left and all other terms to the right. 
-0.2g+1g-0.5g=+1-1+1.5

We simplify left and right side of the equation. 
 + 0.3g=+1.5

We divide both sides of the equation by 0.3 to get g. 
g=5