Solve for x
x>\frac{11}{3}
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24x-60>3\left(3x+1\right)-8
Multiply both sides of the equation by 12, the least common multiple of 4,3. Since 12 is positive, the inequality direction remains the same.
24x-60>9x+3-8
Use the distributive property to multiply 3 by 3x+1.
24x-60>9x-5
Subtract 8 from 3 to get -5.
24x-60-9x>-5
Subtract 9x from both sides.
15x-60>-5
Combine 24x and -9x to get 15x.
15x>-5+60
Add 60 to both sides.
15x>55
Add -5 and 60 to get 55.
x>\frac{55}{15}
Divide both sides by 15. Since 15 is positive, the inequality direction remains the same.
x>\frac{11}{3}
Reduce the fraction \frac{55}{15} to lowest terms by extracting and canceling out 5.
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