Step 1: isolate the "x" by bring everything else to the other side
[tex]-2x-10y=10\\-2x= 10 +10y\\x= -5 -5y[/tex]
Step 2: The equation found above is the equation x is equal to so you plug it into all the x's the original equation to find y
[tex]-2 (-5 - 5y) -10y = 10[/tex]
[tex]10 + 10y -10y = 10\\10y - 10y = 0\\0y = 0\\y = 0[/tex]
Step 3: Plug in your newly found y (0) into the original equation to find the x
[tex]-2x- 10(0) = 10\\-2x - 0 = 10\\-2x =10\\x = -5[/tex]
Hope this helped! Let me know if there is anything I need to clarify or explain more in depth!
