# How do you solve 3p-1=5(p-1)-2(7-2p)?

Mar 14, 2017

See answer in solution below.

#### Explanation:

To start, it's a good idea to being by distributing the numbers outside of both of the parentheses to get individual terms

$3 p - 1 = 5 p - 5 - 14 + 4 p$

Then we combine like terms on both sides to get

$3 p - 1 = 9 p - 19$

Then we want to get the terms with $p$ on one side and all the terms without $p$ on the other side. It doesn't matter which one goes where but I prefer working with a positive coefficient in front of my variable so let's subtract $3 p$ from both sides and then add $19$ to both sides to give us

$18 = 6 p$

Then to get $p$ alone we divide both sides by six which gives us

$3 = p$

And that is the final answer.