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3\left(x-16\right)=-5x
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 5,16-x.
3x-48=-5x
Use the distributive property to multiply 3 by x-16.
3x-48+5x=0
Add 5x to both sides.
8x-48=0
Combine 3x and 5x to get 8x.
8x=48
Add 48 to both sides. Anything plus zero gives itself.
x=\frac{48}{8}
Divide both sides by 8.
x=6
Divide 48 by 8 to get 6.