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15x-27-2\times 6=0
Use the distributive property to multiply 3 by 5x-9.
15x-27-12=0
Multiply 2 and 6 to get 12.
15x-39=0
Subtract 12 from -27 to get -39.
15x=39
Add 39 to both sides. Anything plus zero gives itself.
x=\frac{39}{15}
Divide both sides by 15.
x=\frac{13}{5}
Reduce the fraction \frac{39}{15} to lowest terms by extracting and canceling out 3.