Given
[tex]4(x-5)=-3(x-5)[/tex]First expand
[tex]\begin{gathered} 4x-20=-3x+15 \\ \end{gathered}[/tex]Collect the like terms
[tex]\begin{gathered} 4x+3x=15+20 \\ 7x=35 \end{gathered}[/tex]Divide both sides by 7
[tex]\begin{gathered} \frac{7x}{7}=\frac{35}{7} \\ x=5 \end{gathered}[/tex]The final answer
[tex]x=5[/tex]