Respuesta :

Given the equation:

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

First, we open the brackets

[tex]4-2x=-8+4x[/tex]

Next, we collect like terms. (Bring terms containing x to the left-hand side)

[tex]\begin{gathered} -2x-4x=-8-4 \\ -6x=-12 \end{gathered}[/tex]

Finally, we divide both sides by -6 (negative 6) to obtain x.

[tex]\begin{gathered} \frac{-6x}{-6}=\frac{-12}{-6} \\ x=2 \end{gathered}[/tex]

The value of x is 2.