$\"\"$

\

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

\

The equation is $\"\"$ .

\

Apply division property of equality: Divide each side by 5.

\

$\"\"$

\

$\"\"$ (Cancel common terms)

\

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

\

Write two cases:

\

Case-1: a = b

\

$\"\"$

\

Case-2: a = $\"\"$ b

\

$\"\"$

\

$\"\"$

\

Solve the equation for Case-1.

\

Apply addition property of equality: Add 3 to each side.

\

$\"\"$

\

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

\

$\"\"$ (Add: 13 + 3 = 16) $\"\"$

\

\

Check:

\

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

\

$\"\"$

\

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

\

$\"\"$ (Absolute value: |13| = 13)

\

65 = 65 (Multiply: $\"\"$ )

\

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

\

$\"\"$

\

Solve the equation for Case-2.

\

Apply addition property of equality: Add 3 to each side.

\

$\"\"$

\

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

\

$\"\"$ (Add: $\"\"$ ) $\"\"$

\

Check:

\

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

\

$\"\"$

\

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

\

$\"\"$ (Absolute value: | $\"\"$ 13| = 13)

\

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

\

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

\

$\"\"$

\

The solutions are 16 and $\"\"$ 10. The solution set is $\"\"$ .