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6x-4-\frac{2}{4}=\frac{8}{3}
Use the distributive property to multiply 2 by 3x-2.
6x-4-\frac{1}{2}=\frac{8}{3}
Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.
6x-\frac{8}{2}-\frac{1}{2}=\frac{8}{3}
Convert -4 to fraction -\frac{8}{2}.
6x+\frac{-8-1}{2}=\frac{8}{3}
Since -\frac{8}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.
6x-\frac{9}{2}=\frac{8}{3}
Subtract 1 from -8 to get -9.
6x=\frac{8}{3}+\frac{9}{2}
Add \frac{9}{2} to both sides.
6x=\frac{16}{6}+\frac{27}{6}
Least common multiple of 3 and 2 is 6. Convert \frac{8}{3} and \frac{9}{2} to fractions with denominator 6.
6x=\frac{16+27}{6}
Since \frac{16}{6} and \frac{27}{6} have the same denominator, add them by adding their numerators.
6x=\frac{43}{6}
Add 16 and 27 to get 43.
x=\frac{\frac{43}{6}}{6}
Divide both sides by 6.
x=\frac{43}{6\times 6}
Express \frac{\frac{43}{6}}{6} as a single fraction.
x=\frac{43}{36}
Multiply 6 and 6 to get 36.