Solve for x
x>\frac{46}{3}
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10x-150+5x>80
Use the distributive property to multiply -5 by 30-x.
15x-150>80
Combine 10x and 5x to get 15x.
15x>80+150
Add 150 to both sides.
15x>230
Add 80 and 150 to get 230.
x>\frac{230}{15}
Divide both sides by 15. Since 15 is positive, the inequality direction remains the same.
x>\frac{46}{3}
Reduce the fraction \frac{230}{15} to lowest terms by extracting and canceling out 5.
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