To find a equivalent expression you apply the distributive property on the given expression:
Distributive property:
[tex]a(b+c)=ab+ac[/tex]For the given expression:
[tex]\begin{gathered} -2(x-5)=-2\cdot x+2\cdot5 \\ \\ =-2x+10 \end{gathered}[/tex]As you can see the equavalent expression is option C