Solve for x
x = \frac{48}{17} = 2\frac{14}{17} \approx 2.823529412
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\frac{9}{2}x+3-\frac{5}{3}x=11
Subtract \frac{5}{3}x from both sides.
\frac{17}{6}x+3=11
Combine \frac{9}{2}x and -\frac{5}{3}x to get \frac{17}{6}x.
\frac{17}{6}x=11-3
Subtract 3 from both sides.
\frac{17}{6}x=8
Subtract 3 from 11 to get 8.
x=8\times \frac{6}{17}
Multiply both sides by \frac{6}{17}, the reciprocal of \frac{17}{6}.
x=\frac{8\times 6}{17}
Express 8\times \frac{6}{17} as a single fraction.
x=\frac{48}{17}
Multiply 8 and 6 to get 48.
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