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10\times 10=500-x
Multiply both sides of the equation by 1000, the least common multiple of 100,1000.
100=500-x
Multiply 10 and 10 to get 100.
500-x=100
Swap sides so that all variable terms are on the left hand side.
-x=100-500
Subtract 500 from both sides.
-x=-400
Subtract 500 from 100 to get -400.
x=400
Multiply both sides by -1.