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7x>96-8x
Multiply both sides of the equation by 4. Since 4 is positive, the inequality direction remains the same.
7x+8x>96
Add 8x to both sides.
15x>96
Combine 7x and 8x to get 15x.
x>\frac{96}{15}
Divide both sides by 15. Since 15 is positive, the inequality direction remains the same.
x>\frac{32}{5}
Reduce the fraction \frac{96}{15} to lowest terms by extracting and canceling out 3.