Let x be the length of the shorter section.
Then the length of the longer section is (x+5).
Twice the length of the longer section is three times the length of the shorter section, so we have the equation 2(x+5)=3x.
Simplifying the equation, we get 2x+10=3x.
Subtracting 2x from both sides, we have 10=x.
The shorter section is 10 inches long.
A string is cut in two so that one section is 5 inches longer than the other. Twice the length of the longer section is three times the length of the shorter section. Write an equation that allows you to solve for the length of the shorter section. How long is the shorter section?
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