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-6x+27-5x=3x
Use the distributive property to multiply -3 by 2x-9.
-11x+27=3x
Combine -6x and -5x to get -11x.
-11x+27-3x=0
Subtract 3x from both sides.
-14x+27=0
Combine -11x and -3x to get -14x.
-14x=-27
Subtract 27 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-27}{-14}
Divide both sides by -14.
x=\frac{27}{14}
Fraction \frac{-27}{-14} can be simplified to \frac{27}{14} by removing the negative sign from both the numerator and the denominator.