Solve for x
x = \frac{2399}{240} = 9\frac{239}{240} \approx 9.995833333
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1=16\times 150+16x\left(-15\right)
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 16x, the least common multiple of 16x,x.
1=2400+16x\left(-15\right)
Multiply 16 and 150 to get 2400.
1=2400-240x
Multiply 16 and -15 to get -240.
2400-240x=1
Swap sides so that all variable terms are on the left hand side.
-240x=1-2400
Subtract 2400 from both sides.
-240x=-2399
Subtract 2400 from 1 to get -2399.
x=\frac{-2399}{-240}
Divide both sides by -240.
x=\frac{2399}{240}
Fraction \frac{-2399}{-240} can be simplified to \frac{2399}{240} by removing the negative sign from both the numerator and the denominator.
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