4(m+3)+2(m-3)=3(m-2)

Solution for 4(m+3)+2(m-3)=3(m-2) equation:

4(m+3)+2(m-3)=3(m-2)

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

Reorder the terms in parentheses
+(+4m+12)+2*(m-3)=3*(m-2)

Remove unnecessary parentheses
+4m+12+2+*(+m-3+)=+3+*(+m-2+)

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

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

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

Remove unnecessary parentheses
+4m+12+2m-6=+3m-6

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

We simplify left and right side of the equation. 
+3m=-12

We divide both sides of the equation by 3 to get m. 
m=-4