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4x+6x-9=12-\left(x+4x\right)
Use the distributive property to multiply 3 by 2x-3.
10x-9=12-\left(x+4x\right)
Combine 4x and 6x to get 10x.
10x-9=12-5x
Combine x and 4x to get 5x.
10x-9+5x=12
Add 5x to both sides.
15x-9=12
Combine 10x and 5x to get 15x.
15x=12+9
Add 9 to both sides.
15x=21
Add 12 and 9 to get 21.
x=\frac{21}{15}
Divide both sides by 15.
x=\frac{7}{5}
Reduce the fraction \frac{21}{15} to lowest terms by extracting and canceling out 3.