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4\times 9=x\times 6
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.
36=x\times 6
Multiply 4 and 9 to get 36.
x\times 6=36
Swap sides so that all variable terms are on the left hand side.
x=\frac{36}{6}
Divide both sides by 6.
x=6
Divide 36 by 6 to get 6.