Hello there. To solve this question, we simply need to solve this equation for x.
[tex]-\frac{1}{2}x+4=-x+1[/tex]We can start by bringing every term with the variable to the left hand side and other constants to the right hand side.
In order to do so, add x - 4 on both sides of the equation:
[tex]\begin{gathered} -\frac{1}{2}x+4+x-4=-x+1+x-4 \\ \frac{x}{2}=-3 \end{gathered}[/tex]Multiply both sides of the equation by a factor of 2
[tex]x=-6[/tex]To make sure this is the right answer, plug it back into the equation you started with:
[tex]undefined[/tex]