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3x=4\times 0.9
Multiply both sides of the equation by 12, the least common multiple of 4,3.
3x=3.6
Multiply 4 and 0.9 to get 3.6.
x=\frac{3.6}{3}
Divide both sides by 3.
x=\frac{36}{30}
Expand \frac{3.6}{3} by multiplying both numerator and the denominator by 10.
x=\frac{6}{5}
Reduce the fraction \frac{36}{30} to lowest terms by extracting and canceling out 6.