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2x-3-6+4x=0
Use the distributive property to multiply -2 by 3-2x.
2x-9+4x=0
Subtract 6 from -3 to get -9.
6x-9=0
Combine 2x and 4x to get 6x.
6x=9
Add 9 to both sides. Anything plus zero gives itself.
x=\frac{9}{6}
Divide both sides by 6.
x=\frac{3}{2}
Reduce the fraction \frac{9}{6} to lowest terms by extracting and canceling out 3.