The given inequality is
[tex]2(10-x)<4x[/tex]
First, we use the distributive property.
[tex]20-2x<4x[/tex]
Then, we subtract 4x from each side.
[tex]\begin{gathered} 20-2x-4x<4x-4x \\ 20-6x<0 \end{gathered}[/tex]
Then, we subtract 20 from each side.
[tex]\begin{gathered} 20-20-6x<0-20 \\ -6x<-20 \end{gathered}[/tex]
At last, we divide the inequality by -6.
[tex]\begin{gathered} -\frac{6x}{-6}>-\frac{20}{-6} \\ x>\frac{10}{3} \end{gathered}[/tex]
Hence, the solution is all real numbers greater than 10/3.
