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1000\times 3\times 4x=\left(x+9\right)\times 4
Variable x cannot be equal to -9 since division by zero is not defined. Multiply both sides of the equation by 1000\left(x+9\right), the least common multiple of 9+x,1000.
3000\times 4x=\left(x+9\right)\times 4
Multiply 1000 and 3 to get 3000.
12000x=\left(x+9\right)\times 4
Multiply 3000 and 4 to get 12000.
12000x=4x+36
Use the distributive property to multiply x+9 by 4.
12000x-4x=36
Subtract 4x from both sides.
11996x=36
Combine 12000x and -4x to get 11996x.
x=\frac{36}{11996}
Divide both sides by 11996.
x=\frac{9}{2999}
Reduce the fraction \frac{36}{11996} to lowest terms by extracting and canceling out 4.