\[\frac{5x - 2}{7} = \frac{x + 2}{2}\ \ \ \ \ \ | \cdot 14\]
\[2 \cdot (5x - 2) = 7 \cdot (x + 2)\]
\[10x - 4 = 7x + 14\]
\[3x = 18\]
\[x = 6.\]