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100\times 2.6=x\times 230
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.
260=x\times 230
Multiply 100 and 2.6 to get 260.
x\times 230=260
Swap sides so that all variable terms are on the left hand side.
x=\frac{260}{230}
Divide both sides by 230.
x=\frac{26}{23}
Reduce the fraction \frac{260}{230} to lowest terms by extracting and canceling out 10.