Solve for x
x>\frac{91}{18}
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\frac{4}{7}x-8+2x>5
Add 2x to both sides.
\frac{18}{7}x-8>5
Combine \frac{4}{7}x and 2x to get \frac{18}{7}x.
\frac{18}{7}x>5+8
Add 8 to both sides.
\frac{18}{7}x>13
Add 5 and 8 to get 13.
x>13\times \frac{7}{18}
Multiply both sides by \frac{7}{18}, the reciprocal of \frac{18}{7}. Since \frac{18}{7} is positive, the inequality direction remains the same.
x>\frac{13\times 7}{18}
Express 13\times \frac{7}{18} as a single fraction.
x>\frac{91}{18}
Multiply 13 and 7 to get 91.
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