Answer
$x=5$
Work Step by Step
Let the unknown number be $x$.
One more than the number= $x+1$.
Twice the reciprocal of the number= $2(\frac{1}{x})=\frac{2}{x}$.
The product of one more than a number and twice the reciprocal
of the number is $\frac{12}{5}$ means:
$(x+1)\times\frac{2}{x}=\frac{12}{5}$
Solving this equation:
Step 1: $\frac{2(x+1)}{x}=\frac{12}{5}$
Step 2: $\frac{2x+2}{x}=\frac{12}{5}$
Step 3: $5(2x+2)=12x$
Step 4: $10x+10=12x$
Step 5: $12x-10x=10$
Step 6: $2x=10$
Step 7: $x=5$
