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100\times 10=x\times 5
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 100x, the least common multiple of x,100.
1000=x\times 5
Multiply 100 and 10 to get 1000.
x\times 5=1000
Swap sides so that all variable terms are on the left hand side.
x=\frac{1000}{5}
Divide both sides by 5.
x=200
Divide 1000 by 5 to get 200.