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6x-3=-9x
Use the distributive property to multiply 3 by 2x-1.
6x-3+9x=0
Add 9x to both sides.
15x-3=0
Combine 6x and 9x to get 15x.
15x=3
Add 3 to both sides. Anything plus zero gives itself.
x=\frac{3}{15}
Divide both sides by 15.
x=\frac{1}{5}
Reduce the fraction \frac{3}{15} to lowest terms by extracting and canceling out 3.