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4\times \frac{1}{2}=9x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 4x, the least common multiple of x,4.
\frac{4}{2}=9x
Multiply 4 and \frac{1}{2} to get \frac{4}{2}.
2=9x
Divide 4 by 2 to get 2.
9x=2
Swap sides so that all variable terms are on the left hand side.
x=\frac{2}{9}
Divide both sides by 9.