Question 350690
{{{3p/5+2/3=p+4/3}}}  <--- Original equation

First thing you need to do is move all of the "p-terms" to one side.  I will move them to the left.  Then you can solve for "p".

{{{3p/5=p+4/3-2/3}}}    <--- Move 2/3 to the right by subtracting it from both sides.
{{{3p=5(p+2/3)}}}    <--- Multiply both sides by 5 to get rid of the fraction on the left side.  Simplify like-terms (common denominators)
{{{3p=5p+10/3}}}    <--- Distribute the 5
{{{3p-5p=10/3}}}    <--- Move all p-terms to the left side. (Subtract 5p from both sides.)
{{{-2p=10/3}}}    <--- Simplify left side.
{{{p=(10/3)*(-(1/2))}}}    <--- Divide both sides by -2.  (Which is the same as multiplying by its reciprocal which is {{{-(1/2)}}}
{{{p=10/6}}}    <--- Solve for P
{{{highlight(p=5/3)}}}    <--- Simplified version of the answer.

Here is the alternate solution - depending on how the equation is actually written.