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x=16\left(-2x+27\right)
Variable x cannot be equal to \frac{27}{2} since division by zero is not defined. Multiply both sides of the equation by 2\left(-2x+27\right).
x=-32x+432
Use the distributive property to multiply 16 by -2x+27.
x+32x=432
Add 32x to both sides.
33x=432
Combine x and 32x to get 33x.
x=\frac{432}{33}
Divide both sides by 33.
x=\frac{144}{11}
Reduce the fraction \frac{432}{33} to lowest terms by extracting and canceling out 3.