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15\left(-\frac{2\times 3+1}{3}\right)x=7
Multiply both sides of the equation by 15, the least common multiple of 3,15.
15\left(-\frac{6+1}{3}\right)x=7
Multiply 2 and 3 to get 6.
15\left(-\frac{7}{3}\right)x=7
Add 6 and 1 to get 7.
\frac{15\left(-7\right)}{3}x=7
Express 15\left(-\frac{7}{3}\right) as a single fraction.
\frac{-105}{3}x=7
Multiply 15 and -7 to get -105.
-35x=7
Divide -105 by 3 to get -35.
x=\frac{7}{-35}
Divide both sides by -35.
x=-\frac{1}{5}
Reduce the fraction \frac{7}{-35} to lowest terms by extracting and canceling out 7.