2(a+3)+5(a+2)=4(9-4a)-3(16-3a)

Solution for 2(a+3)+5(a+2)=4(9-4a)-3(16-3a) equation:

2(a+3)+5(a+2)=4(9-4a)-3(16-3a)

We simplify the equation to the form, which is simple to understand 
2(a+3)+5(a+2)=4(9-4a)-3(16-3a)

Reorder the terms in parentheses
+(+2a+6)+5*(a+2)=4*(9-4a)-3*(16-3a)

Remove unnecessary parentheses
+2a+6+5+*(+a+2+)=+4+*(+9-4a+)-3+*(+16-3a+)

Reorder the terms in parentheses
+2a+6+(+5a+10)=4*(9-4a)-3*(16-3a)

Remove unnecessary parentheses
+2a+6+5a+10=+4+*(+9-4a+)-3+*(+16-3a+)

Reorder the terms in parentheses
+2a+6+5a+10=+(+36-16a)-3*(16-3a)

Remove unnecessary parentheses
+2a+6+5a+10=+36-16a-3+*(+16-3a+)

Reorder the terms in parentheses
+2a+6+5a+10=+36-16a+(-48+9a)

Remove unnecessary parentheses
+2a+6+5a+10=+36-16a-48+9a

We move all terms containing a to the left and all other terms to the right. 
+2a+5a+16a-9a=+36-48-6-10

We simplify left and right side of the equation. 
+14a=-28

We divide both sides of the equation by 14 to get a. 
a=-2