Solve for x
x=20
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3x\times 1500\times \frac{4}{3}=\left(3x-30\right)\times 4000
Variable x cannot be equal to any of the values 0,10 since division by zero is not defined. Multiply both sides of the equation by 3x\left(x-10\right), the least common multiple of x-10,3,x.
4500x\times \frac{4}{3}=\left(3x-30\right)\times 4000
Multiply 3 and 1500 to get 4500.
6000x=\left(3x-30\right)\times 4000
Multiply 4500 and \frac{4}{3} to get 6000.
6000x=12000x-120000
Use the distributive property to multiply 3x-30 by 4000.
6000x-12000x=-120000
Subtract 12000x from both sides.
-6000x=-120000
Combine 6000x and -12000x to get -6000x.
x=\frac{-120000}{-6000}
Divide both sides by -6000.
x=20
Divide -120000 by -6000 to get 20.
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