Question 500035
{{{5/12 = -5k/4 +2/3 - 3/2}}}
add 5k/4 to both sides
{{{5k/4 +5/12 =-5k/4+-5k/4 +2/3 -3/2}}}

{{{5k/4 = 2/3-3/2-5/12}}}

LCD = 12
15k=8-18-10
15k=-20
k=-20/15
k=-4/3