Yes, u would
15x + 25 = 5x + 175...subtract 5x and 25 from both sides
15x - 5x = 175 - 25
10x = 150
x = 150/10
x = 15
2(1)+3(3)+4=15
2+9+4=15
Or
2(4)+3(1)+4=15
8+3+4=15
So either one would work
Since, it is not given how many coins did Erica buy at the coin show, so, we can suppose that Erica bought "n" coins from the coin show.
Now, we know that Erica already had 6 coins in her coin collection before she went to the coin show and bought the "n" coins.
Therefore, the total number of coins that Erica will have in her possession after buying "n" coins from the coin show will be 6+n.