Answer:
3k/2 - k+3/3=8- k+2/4
(3k/2)x3 - (k+3/3)x2=(8)x4 - k+2/4
9k-2k-6/6 = 32-k-2/4
7k-6/6 = 30-k/4
(7k-6)x4 = (30-k)x6
28k - 24 = 180 - 6k
34k = 204
k = 204/34
k=6
Explanation:
First, you multiply both sides by the numbers there to both the numerator and denominator, to get the same denominator. Then, simplify the answers in the second step. Next, cross multiply by multiplying the numerator of the left side to the denominator of the right side; and multiplying the numerator of the right side of the denominator of the left side. When you reach the fifth step, move -6k to the left side it will turn to +6k and add with 28k to get 34k. Move -24 to the right side it will turn +24 and add with 180 to get 204. Lastly, divide 204 by 34 to get k = 6.