Solve for x
x=-24
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\frac{1}{5}x+14-6=\frac{16}{5}
Divide both sides by 5.
\frac{1}{5}x+8=\frac{16}{5}
Subtract 6 from 14 to get 8.
\frac{1}{5}x=\frac{16}{5}-8
Subtract 8 from both sides.
\frac{1}{5}x=\frac{16}{5}-\frac{40}{5}
Convert 8 to fraction \frac{40}{5}.
\frac{1}{5}x=\frac{16-40}{5}
Since \frac{16}{5} and \frac{40}{5} have the same denominator, subtract them by subtracting their numerators.
\frac{1}{5}x=-\frac{24}{5}
Subtract 40 from 16 to get -24.
x=-\frac{24}{5}\times 5
Multiply both sides by 5, the reciprocal of \frac{1}{5}.
x=-24
Cancel out 5 and 5.
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