Solve for x
x\leq \frac{326}{13}
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1500x+26000-200x\leq 58600
Use the distributive property to multiply 200 by 130-x.
1300x+26000\leq 58600
Combine 1500x and -200x to get 1300x.
1300x\leq 58600-26000
Subtract 26000 from both sides.
1300x\leq 32600
Subtract 26000 from 58600 to get 32600.
x\leq \frac{32600}{1300}
Divide both sides by 1300. Since 1300 is positive, the inequality direction remains the same.
x\leq \frac{326}{13}
Reduce the fraction \frac{32600}{1300} to lowest terms by extracting and canceling out 100.
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