You can put this solution on YOUR website! sol:
x/5-2/x= -3/5 is the 1 st equation
take L.H.S part
x/5-2/x
the l.c.m of x/5-2/x is 5x
multiplying throughout the equation by 5x
(x/5 *5x)-(2/x*5x)= (-3/5*5x)
x^2-10=-3x
adding 3x on both sides
x^2-10+3x= -3x+3x
x^2+3x-10=0
x^2+5x-2x-10=0
x(x+5)-2(x+5)=0
(x-2)(x+5)=0
x-2=0
x=2
x+5=0
x= -5