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3\times 100=23x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 3x, the least common multiple of x,3.
300=23x
Multiply 3 and 100 to get 300.
23x=300
Swap sides so that all variable terms are on the left hand side.
x=\frac{300}{23}
Divide both sides by 23.