For this case we must solve the following expression:
[tex]\frac {5x} {8} -8 = \frac {2x} {3}[/tex]
Subtracting [tex]\frac {2x} {3}[/tex] from both sides of the equation:
[tex]\frac {5x} {8} - \frac {2x} {3} -8 = 0[/tex]
Adding 8 to both sides of the equation:
[tex]\frac {5x} {8} - \frac {2x} {3} = 8\\\frac {3 * 5x-8 * 2x} {8 * 3} = 8\\\frac {15x-16x} {24} = 8\\15x-16x = 24 * 8\\-x = 192\\x = -192[/tex]
Answer:
[tex]x = -192[/tex]