Solve for x
x=\frac{12}{59}\approx 0.203389831
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\left(x+2\right)\times 2400\times 2=x\times 52000
Variable x cannot be equal to any of the values -2,0 since division by zero is not defined. Multiply both sides of the equation by x\left(x+2\right), the least common multiple of x,x+2.
\left(x+2\right)\times 4800=x\times 52000
Multiply 2400 and 2 to get 4800.
4800x+9600=x\times 52000
Use the distributive property to multiply x+2 by 4800.
4800x+9600-x\times 52000=0
Subtract x\times 52000 from both sides.
-47200x+9600=0
Combine 4800x and -x\times 52000 to get -47200x.
-47200x=-9600
Subtract 9600 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-9600}{-47200}
Divide both sides by -47200.
x=\frac{12}{59}
Reduce the fraction \frac{-9600}{-47200} to lowest terms by extracting and canceling out -800.
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