3(a-4)-2(a-5)=4a+6

Solution for 3(a-4)-2(a-5)=4a+6 equation:

3(a-4)-2(a-5)=4a+6

We simplify the equation to the form, which is simple to understand 
3(a-4)-2(a-5)=4a+6

Reorder the terms in parentheses
+(+3a-12)-2*(a-5)=4a+6

Remove unnecessary parentheses
+3a-12-2+*(+a-5+)=+4a+6

Reorder the terms in parentheses
+3a-12+(-2a+10)=4a+6

Remove unnecessary parentheses
+3a-12-2a+10=+4a+6

We move all terms containing a to the left and all other terms to the right. 
+3a-2a-4a=+6+12-10

We simplify left and right side of the equation. 
-3a=+8

We divide both sides of the equation by -3 to get a. 
a=-2.66666666667