Math word problems HELP

okay i have seriously spent 20 minutes trying to figure this out.

a contractor wants to use 34 feet of molding, cut into 3 pieces. the long piece is 1.5 feet longer than three times the length of each shorter piece. find the length of each piece

The long piece is an equal amount longer than the other two so they must be equal.
Let small piece length = x

Now write an equation in terms of x

Total = piece 1 + piece 2 + piece 3
34 = x + x + (3x + 1.5)
34 = 5x + 1.5
32.5 = 5x
6.5 = x

Each short piece is = x = 6.5 feet
The long piece is = (3x +1.5) = 19.5 + 1.5 = 21 feet

Check
34 = 6.5 + 6.5 + 21
34 = 13 + 21
34 = 34

x+x+(3x+1.5)=34
5x+1.5=34
5x =32.5
x=6.5

So the two short pieces are 6.5 feet each and the longest piece is 3*6.5+1.5= 21 feet.

Mr. P you cheater. I was doing it in my head and thats what i came up with