Answer :
[tex]x=\frac{14}{5}[/tex]
Explanation
[tex]6-x=4(x-2)[/tex]Step 1
apply the distributive property to eliminate the parenthesis
[tex]\begin{gathered} 6-x=4(x-2) \\ 6-x=4x-8 \end{gathered}[/tex]Step 2
add x in both sides
[tex]\begin{gathered} 6-x=4x-8 \\ 6-x+x=4x-8+x \\ 6=5x-8 \end{gathered}[/tex]Step 3
add 8 in both sides
[tex]\begin{gathered} 6=5x-8 \\ 6+8=5x-8+8 \\ 14=5x \end{gathered}[/tex]Step 4
finally, divide each side by 5
[tex]\begin{gathered} 14=5x \\ x=\frac{14}{5} \end{gathered}[/tex]I hope this helps you