(3/x+4-7)=-4/x+4(x+4)

Get rid of parentheses.

3/x-3=-4/x+4x+16

Multiply both sides by x.

3-3x= -4+4x^2+16x

Bring all terms to one side.

0=4x^2+19x-7

If you can, factor and solve.

I hope this helps. Thanks for asking.