SOLUTION: can you show me how to solve this equation 3p over 5 plus 2 over 3 equals p plus 4 over 3.

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Question 350690: can you show me how to solve this equation 3p over 5 plus 2 over 3 equals p plus 4 over 3.
Found 2 solutions by JBarnum, jjordan95:
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
%283p%2F5%29%2B%282%2F3%29=%28p%2B4%29%2F3
im not sure if i read ur statement correctly next time please indicate what is grouped together with "( )".
find common denominator
which is 15
%286p%2F15%29%2B%2810%2F15%29=%28p%2B4%29%2F3
%286p%2B10%29%2F15=%28p%2B4%29%2F3
multiply by 15
6p%2B10=%28p%2B4%295
distribute
6p%2B10=5p%2B20
subtract 10
6p=5p%2B10
subtract 5p
p=10

Answer by jjordan95(63) About Me  (Show Source):
You can put this solution on YOUR website!
3p%2F5%2B2%2F3=p%2B4%2F3 <--- 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%2F5=p%2B4%2F3-2%2F3 <--- Move 2/3 to the right by subtracting it from both sides.
3p=5%28p%2B2%2F3%29 <--- Multiply both sides by 5 to get rid of the fraction on the left side. Simplify like-terms (common denominators)
3p=5p%2B10%2F3 <--- Distribute the 5
3p-5p=10%2F3 <--- Move all p-terms to the left side. (Subtract 5p from both sides.)
-2p=10%2F3 <--- Simplify left side.
p=%2810%2F3%29%2A%28-%281%2F2%29%29 <--- Divide both sides by -2. (Which is the same as multiplying by its reciprocal which is -%281%2F2%29
p=10%2F6 <--- Solve for P
highlight%28p=5%2F3%29 <--- Simplified version of the answer.
Here is the alternate solution - depending on how the equation is actually written.