Solve for x
x=11.5
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3x-7.5=\frac{9}{\frac{1}{3}}
Use the distributive property to multiply 3 by x-2.5.
3x-7.5=9\times 3
Divide 9 by \frac{1}{3} by multiplying 9 by the reciprocal of \frac{1}{3}.
3x-7.5=27
Multiply 9 and 3 to get 27.
3x=27+7.5
Add 7.5 to both sides.
3x=34.5
Add 27 and 7.5 to get 34.5.
x=\frac{34.5}{3}
Divide both sides by 3.
x=\frac{345}{30}
Expand \frac{34.5}{3} by multiplying both numerator and the denominator by 10.
x=\frac{23}{2}
Reduce the fraction \frac{345}{30} to lowest terms by extracting and canceling out 15.
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