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260x+36000-200x<40500
Use the distributive property to multiply 200 by 180-x.
60x+36000<40500
Combine 260x and -200x to get 60x.
60x<40500-36000
Subtract 36000 from both sides.
60x<4500
Subtract 36000 from 40500 to get 4500.
x<\frac{4500}{60}
Divide both sides by 60. Since 60 is positive, the inequality direction remains the same.
x<75
Divide 4500 by 60 to get 75.