Solve for x
x=900
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\left(x-1500\right)\times 3600=-x\times 2400
Variable x cannot be equal to any of the values 0,1500 since division by zero is not defined. Multiply both sides of the equation by x\left(x-1500\right), the least common multiple of x,1500-x.
3600x-5400000=-x\times 2400
Use the distributive property to multiply x-1500 by 3600.
3600x-5400000=-2400x
Multiply -1 and 2400 to get -2400.
3600x-5400000+2400x=0
Add 2400x to both sides.
6000x-5400000=0
Combine 3600x and 2400x to get 6000x.
6000x=5400000
Add 5400000 to both sides. Anything plus zero gives itself.
x=\frac{5400000}{6000}
Divide both sides by 6000.
x=900
Divide 5400000 by 6000 to get 900.
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