$\"\"$ $\"\"$ $\"\"$

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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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According to subtraction property of equality: if $\"\"$ , then $\"\"$ .

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$\"\"$ (Subtract 7 from each side)

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

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

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According to division property of equality: if $\"\"$ , then $\"\"$ .

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$\"\"$ (Divide each side by 2)

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$\"\"$ (Cancel sommon 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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According to subtraction property of equality: if $\"\"$ , then $\"\"$ .

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$\"\"$ (Subtract 7 from each side)

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

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

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$\"\"$

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According to division property of equality: if $\"\"$ , then $\"\"$ .

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$\"\"$ (Divide each side by 2)

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$\"\"$ (Cancel sommon 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 $\"\"$ .