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\frac{4}{5}x=6+2
Add 2 to both sides.
\frac{4}{5}x=8
Add 6 and 2 to get 8.
x=8\times \frac{5}{4}
Multiply both sides by \frac{5}{4}, the reciprocal of \frac{4}{5}.
x=\frac{8\times 5}{4}
Express 8\times \frac{5}{4} as a single fraction.
x=\frac{40}{4}
Multiply 8 and 5 to get 40.
x=10
Divide 40 by 4 to get 10.