The given equation is:
[tex]6(x-2)=4[/tex]It is required to solve for x.
Distribute 6 into the expression in parentheses:
[tex]6x-12=4[/tex]Add 12 to both sides of the equation:
[tex]\begin{gathered} 6x-12+12=4+12 \\ \Rightarrow6x=16 \end{gathered}[/tex]Divide both sides of the equation by 6:
[tex]\begin{gathered} \frac{6x}{6}=\frac{16}{6} \\ \Rightarrow x=\frac{8}{3}=2\frac{2}{3} \end{gathered}[/tex]Hence, the correct answer is 3) x=2 2/3.
The correct option is 3.