Rearrange to make x the subject of this formulae

Question

K=2m-x divided by x

When I try to rearrange this question, I always end up with two Xs to deal with and not sure how to complete this?

Answer 1

k = (2m-x)/x

multiply both sides by x to get

xk = 2m-x add x to both sides

xk+x = 2m factor out x on the left side

x(k+1) = 2m divide both sides by k+1

x = 2m/(k+1)