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8x=7\times 10.4
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 7x, the least common multiple of 7,x.
8x=72.8
Multiply 7 and 10.4 to get 72.8.
x=\frac{72.8}{8}
Divide both sides by 8.
x=\frac{728}{80}
Expand \frac{72.8}{8} by multiplying both numerator and the denominator by 10.
x=\frac{91}{10}
Reduce the fraction \frac{728}{80} to lowest terms by extracting and canceling out 8.