Thank you for the opportunity to help you with your question!

The 1st step in solving a word problem is to break it up into pieces.

First piece: 3/2's of the difference of a number and two.

Second piece:one more than twice the same number.

Now what are we looking for? A number, call it x. The first piece can now be written as (3/2) * (x - 2), assuming x is bigger than 2.

The second piece can be written as 1 + 2x.

How are the two pieces related? By the word "is", which I translate as "equals".

We now have the equation (3/2) * (x - 2) = 1 + 2x. I assume you can solve this equation: that is, find the value of x that makes the left side equal to the right side. If not, post the equation on studypool and I or someone else can show you how.

Please let me know if you need any clarification. I'm always happy to answer your questions.