My algebra homework

Question

A

3535​-inch

piece of steel is cut into three pieces so that the second piece is twice as long as the first​ piece, and the third piece is

three

inches

more than

five

times the length of the first piece. Find the lengths of the pieces.

Decorative image

Answer 1

First piece is x

2nd piece : 2x

3rd piece: 3 + 5x

x + 2x + 3 + 5x = 35

8x + 3 = 35

8x = 32

x = 4

4, 8, and 23