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24x-12\left(\frac{x}{3}-\frac{x}{4}\right)=6
Multiply both sides of the equation by 12, the least common multiple of 3,4,2.
24x-12\times \frac{1}{12}x=6
Combine \frac{x}{3} and -\frac{x}{4} to get \frac{1}{12}x.
24x-x=6
Cancel out 12 and 12.
23x=6
Combine 24x and -x to get 23x.
x=\frac{6}{23}
Divide both sides by 23.