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3x=4\times 46,4
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 4x, the least common multiple of 4;x.
3x=185,6
Multiply 4 and 46,4 to get 185,6.
x=\frac{185,6}{3}
Divide both sides by 3.
x=\frac{1856}{30}
Expand \frac{185,6}{3} by multiplying both numerator and the denominator by 10.
x=\frac{928}{15}
Reduce the fraction \frac{1856}{30} to lowest terms by extracting and canceling out 2.