make x the subject of y=x/x+1?

.......x
y=---------
.....x+1

y(x+1)=x
xy+y=x
xy-x=-y
x(y-1)=-y
.......-y
x=---------- answer//
.......y-1

y = x/x+1
y(x+1) = x
yx + y = x
y = x-yx
y = x(1-y)
y/(1-y) = x

SHOULD be given as :-

y = x / (x + 1)

y x + y = x
y x - x = - y
( y - 1 ) x = - y
x = - y / ( y - 1 )

y = x/(x + 1)
y(x + 1) = x
y*x + y*1 = x
xy + y = x
xy - x = -y
x(y - 1) = -y
x = -y/(y - 1)

y = x / x+1
(x+1)y = x
xy + y = x
xy - x = -y
x(y-1) = -y
x = -y / y-1

y=x/x+1
=>2x=xy
=>x=xy/2