→ Let the width of the rectangle = x inches
∵ The length of the rectangle is 3 less than 7 times the width
∴ The length of the rectangle = 7(x) - 3
→ The perimeter of the rectangle P = 2(length + width)
[tex]\begin{gathered} \because P=2(7x-3+x) \\ \therefore P=2(8x-3) \\ \therefore P=2(8x)-2(3) \\ \therefore P=16x-6 \end{gathered}[/tex]∵ The perimeter is 58 inches
[tex]\therefore16x-6=58[/tex]→ Add 6 to both sides
[tex]\begin{gathered} \because16x-6+6=58+6 \\ \therefore16x=64 \end{gathered}[/tex]→ Divide both sides by 16 to find x
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