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-2+2x=5\times 2\times 50x
Subtract 4 from 2 to get -2.
-2+2x=10\times 50x
Multiply 5 and 2 to get 10.
-2+2x=500x
Multiply 10 and 50 to get 500.
-2+2x-500x=0
Subtract 500x from both sides.
-2-498x=0
Combine 2x and -500x to get -498x.
-498x=2
Add 2 to both sides. Anything plus zero gives itself.
x=\frac{2}{-498}
Divide both sides by -498.
x=-\frac{1}{249}
Reduce the fraction \frac{2}{-498} to lowest terms by extracting and canceling out 2.