Solve for x
x\leq \frac{5000}{3}
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5x+4x\leq 15000
Multiply both sides of the equation by 6000, the least common multiple of 1200,1500. Since 6000 is positive, the inequality direction remains the same.
9x\leq 15000
Combine 5x and 4x to get 9x.
x\leq \frac{15000}{9}
Divide both sides by 9. Since 9 is positive, the inequality direction remains the same.
x\leq \frac{5000}{3}
Reduce the fraction \frac{15000}{9} to lowest terms by extracting and canceling out 3.
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