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x-6-\frac{7}{9}x=10
Subtract \frac{7}{9}x from both sides.
\frac{2}{9}x-6=10
Combine x and -\frac{7}{9}x to get \frac{2}{9}x.
\frac{2}{9}x=10+6
Add 6 to both sides.
\frac{2}{9}x=16
Add 10 and 6 to get 16.
x=16\times \frac{9}{2}
Multiply both sides by \frac{9}{2}, the reciprocal of \frac{2}{9}.
x=\frac{16\times 9}{2}
Express 16\times \frac{9}{2} as a single fraction.
x=\frac{144}{2}
Multiply 16 and 9 to get 144.
x=72
Divide 144 by 2 to get 72.