3(5/6-2k)+5/2(3k-2)=8
15/6-6k+15/2*k-10/2=8
15/6-6k+15/2*k-5=8 multiply both sides by 6
6*15/6-6*6k+6*15/2*k-6*5=6*8
cancelcolor(red)6*15/cancelcolor(red)6-6*6k+color(green)3cancelcolor(red)6*15/cancelcolor(red)2*k-6*5=6*8
15-36k+45k-30=48
-36k+45k=48+30-15
9k=63 divide both sides by 9
(9k)/9=63/9
(color(red)cancel9k)/color(red)9=7
k=7