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100\times 47.4=x\times 31.6
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.
4740=x\times 31.6
Multiply 100 and 47.4 to get 4740.
x\times 31.6=4740
Swap sides so that all variable terms are on the left hand side.
x=\frac{4740}{31.6}
Divide both sides by 31.6.
x=\frac{47400}{316}
Expand \frac{4740}{31.6} by multiplying both numerator and the denominator by 10.
x=150
Divide 47400 by 316 to get 150.