How do you solve 3( \frac { 5} { 6} - 2k ) + \frac { 5} { 2} ( 3k - 2) = 8?

1 Answer
Apr 15, 2018

k=7

Explanation:

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