$-2x\div\left( -2 \right)=-2\div\left( -2 \right)$
Any expression divided by itself equals $1$$x=-2\div\left( -2 \right)$
Dividing two negatives equals a positive: $\left( - \right)\div\left( - \right)=\left( + \right)$$x=2\div2$
Any expression divided by itself equals $1$$x=1$