Answer:
[tex]\boxed{\bold{\huge{\boxed{x = 10}}}}[/tex]
Step-by-step explanation:
=> [tex]\sf \frac{3}{4} x + \frac{5}{6} = 5x - \frac{125}{3}[/tex]
Combining like terms
=> [tex]\sf \frac{3x}{4} - 5x = -\frac{125}{3} - \frac{5}{6}[/tex]
Taking LCM to make the denominator same
=> [tex]\sf \large{\frac{3x-20x}{4} = \frac{-250-5}{6} }[/tex]
=> [tex]\sf \frac{-17x }{4} = \frac{-255}{6}[/tex]
=> [tex]\sf \frac{17x }{4} = \frac{255}{6}[/tex]
Cross Multiplying
=> [tex]\sf 17x * 6 = 4 * 255[/tex]
=> [tex]\sf 102x = 1020[/tex]
Dividing both sides by 102
=> x = 10
