[tex]x-number\\\\
\frac{1}{2}x+8=\frac{2}{3}x\ \ \ |-\frac{1}{2}x \ from\ both\ sides\\\\
8=\frac{2}{3}x-\frac{1}{2}x\\\\
Make\ a\ common\ denominator\\\\8=\frac{4}{6}x-\frac{3}{6}x\\\\
8=\frac{1}{6}x\ \ |*6\\\\x=8*6\\\\x=48\\\\Answer\ is\ 3)\ 48.[/tex]