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Given perimeter rectangle is 

To calculate the length of fence Jolon needs to find the perimeter of the garden. Since the garden is a rectangular garden, use the formula for the perimeter of the rectangle.

The perimeter P of a rectangle is given by the formula,

P = 2L + 2W = 2 (L + W)

Where L is the length and is W is the width of the rectangle.

The perimeter P of a rectangle is

46 = 2 (2x+3 +x+2)                 (Substitute L = 2x+3 and W =x+2)

46 = 2 (2x+x+3+2)                  (Using commutative property,)

46 = 2 (3x+5)                          (Add: 2x+x=3x;3+2=5)

                   (Divide each side by 2)

                         (Cancel common terms)

                 (Subtract 5 from each side)

                                   (Subtract:

                              (Divide each side by 3)

                                       (Cancel common terms)

Verify:

To check the solution, substitute x=6 in original equation.        

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             (Substitute x=6) \ \

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                            (Multiply ) \ \

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                                     (Add )

Compare the values, the equation is true. The solution is.

The value of x is .