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-5x=3\left(x-16\right)
Variable x cannot be equal to 16 since division by zero is not defined. Multiply both sides of the equation by 5\left(x-16\right), the least common multiple of 16-x,5.
-5x=3x-48
Use the distributive property to multiply 3 by x-16.
-5x-3x=-48
Subtract 3x from both sides.
-8x=-48
Combine -5x and -3x to get -8x.
x=\frac{-48}{-8}
Divide both sides by -8.
x=6
Divide -48 by -8 to get 6.