equations with fractions

Question

10/3x+1=2x+4

Answer 1

Assume 10/(3x+1)=2x+4, divide both sides by 2:

5/(3x+1)=x+2, multiply both sides by 3x+1:

5=3x²+7x+2,

3x²+7x-3=0.

Quadratic formula: x=(-7±√(49+36))/6=(-7±√85)/6.

x=(-7+9.2195)/6 or (-7-9.2195)/6,

x=0.3699 or -2.7033 approx.