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\frac{23}{3}x-2=4
Combine 6x and \frac{5}{3}x to get \frac{23}{3}x.
\frac{23}{3}x=4+2
Add 2 to both sides.
\frac{23}{3}x=6
Add 4 and 2 to get 6.
x=6\times \frac{3}{23}
Multiply both sides by \frac{3}{23}, the reciprocal of \frac{23}{3}.
x=\frac{6\times 3}{23}
Express 6\times \frac{3}{23} as a single fraction.
x=\frac{18}{23}
Multiply 6 and 3 to get 18.