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\frac{2.25\times 8}{x}=6
Divide 2.25 by \frac{x}{8} by multiplying 2.25 by the reciprocal of \frac{x}{8}.
\frac{18}{x}=6
Multiply 2.25 and 8 to get 18.
18=6x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
\frac{18}{6}=x
Divide both sides by 6.
3=x
Divide 18 by 6 to get 3.
x=3
Swap sides so that all variable terms are on the left hand side.