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6x-2\left(3-2x\right)=3
Multiply both sides of the equation by 6, the least common multiple of 3,2.
6x-6+4x=3
Use the distributive property to multiply -2 by 3-2x.
10x-6=3
Combine 6x and 4x to get 10x.
10x=3+6
Add 6 to both sides.
10x=9
Add 3 and 6 to get 9.
x=\frac{9}{10}
Divide both sides by 10.