Question

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

Answer 1

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

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

Then we combine like terms on both sides to get

`3p - 1 = 9p - 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 `3p` from both sides and then add `19` to both sides to give us

`18 = 6p`

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

`3 = p`

And that is the final answer.