Question

What is X? x/x-6 = 4/7

Answer 1

I assume the left side is x/(x-6)

Rearrange to get

7/4=(x-6)/x

the right side can now be decomposed to x/x - 6/x which is equal to 1 - 6/x

hence 7/4 = 1 - 6/x

rearranging yields

6/x = 1 - 7/4

taking the reciprocal of both sides gives

x/6 = 1/(1- 7/4)

=> x = 6/(1 - 7/4) = 6/(-3/4) = -(4*6)/3 = -8

Answer 2

-8 is right!