SOLUTION: Please help me solve this problem. Or steps on how to solve it if you can , please. If a certain positive number is added to 8 times the reciprocal of 3 more than the number, the

Change the words "a certain positive number" and "the number" both to x:

Change the words "3 more than x" to "x+3", since to get 3 more than x,
you put +3 after it:

Change the words "the reciprocal of x+3" to .

Change the words, "8 times  to .

Change the words "If x is added to " to "".

Change the words "the result is" to an equal sign .

.

Multiply through by the LCD, and solve the quadratic.  It will factor.
You'll get two answers, one negative and the other positive. You
only want the positive one, since that's what the original problem
says.

Edwin