Solve the following equation:
`(1)/(x)-(1)/(x-2) =3, x ne 0,2`

Solve the following equation: (|x-2|)/(x-3)=1/(x-3)

Solve the following equations x^(2)+|x-1|=1

Solve the following equation. (x+1)/4+(x+2)/2=(x-3)/2+(x-1)/3

Solve the following equation for x 9(x^2+1/x^2)- 9(x+1/x)-52 =0

Solve the following equations : tan^(-1) (x+2) +tan^(-1) (x-2) = pi/4 , x gt 0

Solve the following system of equations : {:((1)/(x)-(1)/(y)+(2)/(z)=4,,),((2)/(x)+(1)/(y)-(3)/(z)=0,,),((1)/(x)+(1)/(y)+(1)/(z)=2,x,y,z ne o):}

Solve the following pair of equations: (2xy)/(x+ y)= (3)/(2), (xy)/(2x- y)= (-3)/(10), x+y ne 0, 2x-y ne 0

Solve the following equations : 2((x)/(x+1))^(2)-5((x)/(x+1))+2=0\ xne-1