4(a+3)=5(a-10)

Solution for 4(a+3)=5(a-10) equation:

4(a+3)=5(a-10)

We simplify the equation to the form, which is simple to understand 
4(a+3)=5(a-10)

Reorder the terms in parentheses
+(+4a+12)=5*(a-10)

Remove unnecessary parentheses
+4a+12=+5+*(+a-10+)

Reorder the terms in parentheses
+4a+12=+(+5a-50)

Remove unnecessary parentheses
+4a+12=+5a-50

We move all terms containing a to the left and all other terms to the right. 
+4a-5a=-50-12

We simplify left and right side of the equation. 
-1a=-62

We divide both sides of the equation by -1 to get a. 
a=62