The given equation is
[tex]x-5=2(4x-3)[/tex]First, we use the distributive property
[tex]x-5=8x-6[/tex]We sum 5 on each side
[tex]\begin{gathered} x-5+5=8x-6+5 \\ x=8x-1 \end{gathered}[/tex]Now, we subtract 8x on each side
[tex]\begin{gathered} x-8x=8x-8x-1 \\ -7x=-1 \end{gathered}[/tex]At last, we divide the equation by -7
[tex]\begin{gathered} \frac{-7x}{-7}=\frac{-1}{-7} \\ x=\frac{1}{7} \end{gathered}[/tex]