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10\times 500-500=450x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 10x, the least common multiple of x,10x.
5000-500=450x
Multiply 10 and 500 to get 5000.
4500=450x
Subtract 500 from 5000 to get 4500.
450x=4500
Swap sides so that all variable terms are on the left hand side.
x=\frac{4500}{450}
Divide both sides by 450.
x=10
Divide 4500 by 450 to get 10.