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\frac{13}{7}x+9=48
Swap sides so that all variable terms are on the left hand side.
\frac{13}{7}x=48-9
Subtract 9 from both sides.
\frac{13}{7}x=39
Subtract 9 from 48 to get 39.
x=39\times \frac{7}{13}
Multiply both sides by \frac{7}{13}, the reciprocal of \frac{13}{7}.
x=\frac{39\times 7}{13}
Express 39\times \frac{7}{13} as a single fraction.
x=\frac{273}{13}
Multiply 39 and 7 to get 273.
x=21
Divide 273 by 13 to get 21.