Solve for x
x\geq \frac{91}{2}
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955\leq 15x+500-5x
Use the distributive property to multiply 5 by 100-x.
955\leq 10x+500
Combine 15x and -5x to get 10x.
10x+500\geq 955
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
10x\geq 955-500
Subtract 500 from both sides.
10x\geq 455
Subtract 500 from 955 to get 455.
x\geq \frac{455}{10}
Divide both sides by 10. Since 10 is positive, the inequality direction remains the same.
x\geq \frac{91}{2}
Reduce the fraction \frac{455}{10} to lowest terms by extracting and canceling out 5.
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