solve for x
[tex]\frac{5}{8}x+\frac{1}{2}x-4=5[/tex]add 4 on both sides
[tex]\frac{5}{8}x+\frac{1}{2}x-4+4=5+4[/tex]simplify
[tex]\frac{5}{8}x+\frac{1}{2}x=9[/tex]find the common minimum of 2 and 8 and multiply
[tex]\frac{5}{8}x\cdot\: 8+\frac{1}{2}x\cdot\: 8=9\cdot\: 8[/tex]simplify
[tex]\begin{gathered} 5x+4x=72 \\ 9x=72 \end{gathered}[/tex]divide both sides by 9
[tex]\frac{9x}{9}=\frac{72}{9}[/tex]simplify
[tex]x=8[/tex]