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

\

The equation is $\"\"$

\

Division property of equality:

\

For any real numbers a, b and c, with $\"\"$ , if $\"\"$ then $\"\"$

\

$\"\"$ (Divide each side by 3)

\

$\"\"$ (Cancel common terms)

\

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

\

Write two cases:

\

Case-1: $\"\"$ .

\

$\"\"$

\

Case-2: $\"\"$

\

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

\

Solve the equation for Case-1.

\

$\"\"$

\

Subtraction property of equality: if $\"\"$ , then $\"\"$ .

\

$\"\"$ (Subtract 6 from each side)

\

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

\

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

\

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

\

Check:

\

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

\

$\"\"$

\

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

\

$\"\"$ (The absolute value of 12 is 12)

\

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

\

Solve the equation for Case-2.

\

$\"\"$

\

$\"\"$ (Subtract 6 from each side)

\

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

\

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

\

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

\

Check:

\

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

\

$\"\"$

\

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

\

$\"\"$ (The absolute value of $\"\"$ is 12)

\

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

\

The solution set is x $\"\"$

\