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4x-6=6-5x
Use the distributive property to multiply 2 by 2x-3.
4x-6+5x=6
Add 5x to both sides.
9x-6=6
Combine 4x and 5x to get 9x.
9x=6+6
Add 6 to both sides.
9x=12
Add 6 and 6 to get 12.
x=\frac{12}{9}
Divide both sides by 9.
x=\frac{4}{3}
Reduce the fraction \frac{12}{9} to lowest terms by extracting and canceling out 3.