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\left(x+16\right)\times 15=24\times 16
Variable x cannot be equal to -16 since division by zero is not defined. Multiply both sides of the equation by 24\left(x+16\right), the least common multiple of 24,16+x.
15x+240=24\times 16
Use the distributive property to multiply x+16 by 15.
15x+240=384
Multiply 24 and 16 to get 384.
15x=384-240
Subtract 240 from both sides.
15x=144
Subtract 240 from 384 to get 144.
x=\frac{144}{15}
Divide both sides by 15.
x=\frac{48}{5}
Reduce the fraction \frac{144}{15} to lowest terms by extracting and canceling out 3.