Solve the Absolute Value Equation or Indicate That the Equation $$\left| \frac { 1 } { 2 } x + 2 \right| = \left| \frac { 3 } { 4 } x - 2 \right|$$

Multiple Choice

Solve the absolute value equation or indicate that the equation has no solution.
- $$\left| \frac { 1 } { 2 } x + 2 \right| = \left| \frac { 3 } { 4 } x - 2 \right|$$

A) $\{ 16,0 \}$
B) $\{ 16,12 \}$
C) $\{ 10,10 \}$
D) $\varnothing$