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12\times 3=x\times 4
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 12x, the least common multiple of x,12.
36=x\times 4
Multiply 12 and 3 to get 36.
x\times 4=36
Swap sides so that all variable terms are on the left hand side.
x=\frac{36}{4}
Divide both sides by 4.
x=9
Divide 36 by 4 to get 9.