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-x\times 16=\left(x-3\right)\times 4
Variable x cannot be equal to any of the values 0,3 since division by zero is not defined. Multiply both sides of the equation by x\left(x-3\right), the least common multiple of 3-x,x.
-16x=\left(x-3\right)\times 4
Multiply -1 and 16 to get -16.
-16x=4x-12
Use the distributive property to multiply x-3 by 4.
-16x-4x=-12
Subtract 4x from both sides.
-20x=-12
Combine -16x and -4x to get -20x.
x=\frac{-12}{-20}
Divide both sides by -20.
x=\frac{3}{5}
Reduce the fraction \frac{-12}{-20} to lowest terms by extracting and canceling out -4.