Trouble with solving (3+p) / 3 - 4p = 1 - (p+7) / 2

[me1]

I have been working on this problem for a while now. I thought I was supposed to find the LCD and multiply both sides by it but it doesn't seem to be working. I know the answer because it's in the back of the book, however I don't know how to come to the answer by myself. Thanks in advance for any help you can give me. How to get started would be the best information first..

Here is the problem:

(3+p) / 3 - 4p = 1 - (p+7) / 2

Thank you thank you thank you!

 

[galactus]

Is this what you mean?:

\(\displaystyle \L\\\frac{3+p}{3}-4p=1-\frac{p+7}{2}\)

Or is it:

\(\displaystyle \L\\\frac{3+p}{3-4p}=1-\frac{p+7}{2}\)

 

[me1]

First one

 

[galactus]

The first thing I would do is get the denominators the same:

\(\displaystyle \L\\\frac{3+p}{3}-\frac{12p}{3}=\frac{2}{2}-\frac{p+7}{2}\)

\(\displaystyle \L\\\frac{3-11p}{3}=\frac{9-p}{2}\)

Now finish?.