3(2k-9)=10(k+8)

Solution for 3(2k-9)=10(k+8) equation:

3(2k-9)=10(k+8)

We simplify the equation to the form, which is simple to understand 
3(2k-9)=10(k+8)

Reorder the terms in parentheses
+(+6k-27)=10*(k+8)

Remove unnecessary parentheses
+6k-27=+10+*(+k+8+)

Reorder the terms in parentheses
+6k-27=+(+10k+80)

Remove unnecessary parentheses
+6k-27=+10k+80

We move all terms containing k to the left and all other terms to the right. 
+6k-10k=+80+27

We simplify left and right side of the equation. 
-4k=+107

We divide both sides of the equation by -4 to get k. 
k=-26.75