What does x equal if x-10 divided by x-4 equals 50 divided by - 6

x=65/14

Step-by-step explanation:

(x-10) / (x-4) = 50/-6

-50/6=-25/3

(x-10) / (x-4) = -25/3

x-10=-25/3 (x-4)

x-10=-25/3x+100/3

x - (-25/3x) = 100/3+10

x+25/3x=130/3

28/3x=130/3

x = (130/3) / (28/3)

x = (130/3) (3/28)

x=130/28

x=65/14