#### Answer

x=3
2x=6
1+5x=16

#### Work Step by Step

Because you are trying to find the length of each section of the metal first figure out how long the whole strip is.
25 inches
Now that you know the given set all of the small pieces lengths equal to 25 inches
(x)+(2x)+(1+5x)=25
Combine like terms
8x+1=25
Subtract the 1 from both sides
8x=24
Divide by 8
x=3
Plug 3 into each value for x to see the separate lengths
x=3
2(3)=6
1+5(3)=16
Add them all together to check your work
3+6+16=25