Answer
The solution is -3
Work Step by Step
$\frac{x+1}{2x+3}$=$\frac{2}{3}$
3(x+1)=2(2x+3)
3x+3=4x+6
3x-4x=6-3
-x=3
x=-3
Check the solution 3
$\frac{x+1}{2x+3}$=$\frac{2}{3}$
$\frac{3+1}{2*3+3}$=$\frac{2}{3}$
$\frac{4}{9}$=$\frac{2}{3}$
$\frac{2}{3}$=$\frac{2}{3}$