algebra help?

Question

2x+5k=6k2-3kx-6 solve for x
this is a algebraic fraction but i can't find a way to get x by itself.

Answer 1

to further reduce from Helmut's answer

X=2K-3

Start by subtracting5K from both sides and adding 3KX to both sides. Factor out for x then reduce the fraction yielding

X=2K-3

Answer 2

2x + 5k = 6k^2 - 3kx - 6
2x + 3kx = 6k^2 - 5k - 6
x(2 + 3k) = 6k^2 - 5k - 6
x = (6k^2 - 5k - 6)/(3k + 2)
x = (2k - 3)