Answer: k=8
Explanation:
Let's multiply all by common denominator (x-5)(x+2) to get rid of fractions
3(x+2) - k(x-5) = 46 - 5x
3x+6-kx+5k = 46-5x
3x - kx + 6 +5k =46 -5x In order to balance an equation you can set constants equal to each other and x terms equal to each other so:
3x-kx= -5x or 6+5k=46
3-k=-5 5k=40
-k=-8 k=8
k=8