Let x represent that number Translate this “If twice a number added to 3 is divided by the number plus 1, the result is three halves into an equation" which is: 2x+3/x+1=3/2 Times x+1 to each side (2x+3/x+1)(x+1)=3/2(x+1) 2x+3=3/2x+3/2 2x+3=1.5x+1.5 Subtract 1.5x to each side 2x+3-1.5x=1.5x+1.5-1.5x 0.5x+3=1.5 Subtract 3 to each side 0.5x+3-3=1.5-3 0.5x=-1.5 Divided 0.5 to each side 0.5x/0.5=-1.5/0.5 x=-3 Check: 2x+3/x+1=3/2 2(-3)+3/-3+1=3/2 -6+3/-2=3/2 -3/-2=3/2 3/2=3/2. As a result, the number is -3. Hope it help!