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.