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4\times 2,25=x\times \frac{9}{8}
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.
9=x\times \frac{9}{8}
Multiply 4 and 2,25 to get 9.
x\times \frac{9}{8}=9
Swap sides so that all variable terms are on the left hand side.
x=9\times \frac{8}{9}
Multiply both sides by \frac{8}{9}, the reciprocal of \frac{9}{8}.
x=8
Cancel out 9 and 9.