The length of the sides of a triangle are 2x+5,x-3 and 3x+1 the perimeter of the triangle is 39 in. what are the lengths of the sides

Here, we add all the side length equations;

2x + 5 + x - 3 + 3x + 1 = 39

Add like terms

6x + 3 = 39

Subtract 3 from both sides

6x = 36

Divide by 6

x = 6

We are not done yet, since the question is asking for the side lengths, we have to plug in 6, so now we get:

2(6) + 5 = 17

6 - 3 = 3

3(6) +1 = 19

The lengths of the sides of the triangle are 17, 3, 19

[If you want to check, you can always add up 17, 3, and 19. You'll get 39)

Hope this helped! :)