The given equation is
[tex]y+4=2(x-5)[/tex]The standard form is
[tex]Ax+By=C[/tex]First, we have to use the distributive property
[tex]y+4=2x-10[/tex]Then, we have to move the variables to the left side and the constants to the right side.
[tex]\begin{gathered} -2x+y=-10-4 \\ -2x+y=-14 \end{gathered}[/tex]