Solve for x
x = \frac{48}{5} = 9\frac{3}{5} = 9.6
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\left(x-16\right)\times 24=-x\times 16
Variable x cannot be equal to any of the values 0,16 since division by zero is not defined. Multiply both sides of the equation by x\left(x-16\right), the least common multiple of x,16-x.
24x-384=-x\times 16
Use the distributive property to multiply x-16 by 24.
24x-384=-16x
Multiply -1 and 16 to get -16.
24x-384+16x=0
Add 16x to both sides.
40x-384=0
Combine 24x and 16x to get 40x.
40x=384
Add 384 to both sides. Anything plus zero gives itself.
x=\frac{384}{40}
Divide both sides by 40.
x=\frac{48}{5}
Reduce the fraction \frac{384}{40} to lowest terms by extracting and canceling out 8.
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