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9=4\left(3x-2\right)-2x-3x
Multiply both sides of the equation by 18, the least common multiple of 2,9,6.
9=12x-8-2x-3x
Use the distributive property to multiply 4 by 3x-2.
9=10x-8-3x
Combine 12x and -2x to get 10x.
9=7x-8
Combine 10x and -3x to get 7x.
7x-8=9
Swap sides so that all variable terms are on the left hand side.
7x=9+8
Add 8 to both sides.
7x=17
Add 9 and 8 to get 17.
x=\frac{17}{7}
Divide both sides by 7.