4+2p=10( 5/3p−2) Solve
Mathematics · College · Sun Jan 24 2021
Answered on
Given the numerical equation:
4 + 2p = 10( 5/3p - 2)
Solve for p.
Solution:
In order to solve for p, we first distribute 10 to each value inside the parenthesis.
4 + 2p = 10( 5/3p - 2)
4 + 2p = 50/3p - 20
Transpose 2p and - 20 to their opposite sides of the equation, hence we must take note that in transposing a number, the sign changes.
4 + 20 = 50/3 p - 2p
2p can be written as 6/3p so that we can combine the fraction easily.
24 = 50/3p - 6/3 p
24 = 54/3p
24 = 18p
Divide both sides by 18 in order to determine the value of p.
18p/18 = 24/18
p = 4/3
Final answer:
p = 4/3