Question

Solve for x is equal to 1/ a + 1/b + 1/x =1/ a + b + X where a≠0,b≠0,x≠0

Answer 1

Answer:

1/a+1/b+1/x=1/a+b+x

1/a-1/a+1/b+1/x=b+x

0+1/b+1/x=b+x

x+b/xb=b+x

x+b=b+x(xb)

x+b=bxx+bbx

x+b=xb(x+b)

xb=x+b/x+b

xb=1

x=1/b