Respuesta :

ANSWER

D) x = 8

EXPLANATION

To find the value of x that makes the equation true, we have to solve the equation for x,

[tex]2(x-4)=x[/tex]

To do so, apply the distributive property to eliminate the parenthesis,

[tex]2x-8=x[/tex]

Then, subtract x from both sides,

[tex]\begin{gathered} 2x-x-8=x-x \\ \\ x-8=0 \end{gathered}[/tex]

And add 8 to both sides,

[tex]\begin{gathered} x-8+8=0+8 \\ x=8 \end{gathered}[/tex]

Hence, the value of x that makes the equation true is 8.