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6\times 10^{-4}x-6\times 4\times 10^{-6}=0
Multiply 3 and 2 to get 6.
6\times \frac{1}{10000}x-6\times 4\times 10^{-6}=0
Calculate 10 to the power of -4 and get \frac{1}{10000}.
\frac{3}{5000}x-6\times 4\times 10^{-6}=0
Multiply 6 and \frac{1}{10000} to get \frac{3}{5000}.
\frac{3}{5000}x-24\times 10^{-6}=0
Multiply 6 and 4 to get 24.
\frac{3}{5000}x-24\times \frac{1}{1000000}=0
Calculate 10 to the power of -6 and get \frac{1}{1000000}.
\frac{3}{5000}x-\frac{3}{125000}=0
Multiply 24 and \frac{1}{1000000} to get \frac{3}{125000}.
\frac{3}{5000}x=\frac{3}{125000}
Add \frac{3}{125000} to both sides. Anything plus zero gives itself.
x=\frac{3}{125000}\times \frac{5000}{3}
Multiply both sides by \frac{5000}{3}, the reciprocal of \frac{3}{5000}.
x=\frac{1}{25}
Multiply \frac{3}{125000} and \frac{5000}{3} to get \frac{1}{25}.