\"\"

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\"\"\"\"

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The equation is \"\".

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Write two cases:

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Case-1: a = b

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\"\"

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Case-2: a = \"\"b

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\"\"

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\"\"

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Solve the equation for Case-1.

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Apply subtraction property of equality: Subtract 7 from each side\"\".

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\"\"

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\"\"                    (Apply Additive inverse property: \"\")

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\"\"                             (Subtract: \"\")\"\"

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Apply division property of equality: Divide each side by 2.

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\"\"

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\"\"                            (Cancel common terms)

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\"\"                               (Divide: \"\")\"\"

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Check:

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To check the solution, substitute \"\" in original equation.

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\"\"

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\"\"                   (Multiply: \"\")

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\"\"                       (Add: 8 + 7 = 15)

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\"\"                          (Absolute value: \"\")

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Compare the values the equation is true. \"\" is a solution.

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\"\"

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Solve the equation for Case-2.

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Apply subtraction property of equality: Subtract 7 from each side\"\".

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\"\"

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\"\"                 (Apply Additive inverse property: \"\")

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\"\"                       (Subtract: \"\")\"\"

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Apply division property of equality: Divide each side by 2.

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\"\"

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\"\"                      (Cancel common terms)

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\"\"                        (Divide: \"\")\"\"

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Check:

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To check the solution, substitute \"\" in original equation.

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\"\"

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\"\"           (Multiply: \"\")

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\"\"                  (Add: \"\")

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15 = 15                       (Absolute value: \"\")

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Compare the values the equation is true. \"\" is a solution.

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\"\"

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The solutions are 4 and \"\"11. The solution set is \"\".