Solve for x
x = \frac{37}{13} = 2\frac{11}{13} \approx 2.846153846
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2\left(3x-1\right)-7\left(3-x\right)=14
Multiply both sides of the equation by 14, the least common multiple of 7,2.
6x-2-7\left(3-x\right)=14
Use the distributive property to multiply 2 by 3x-1.
6x-2-21+7x=14
Use the distributive property to multiply -7 by 3-x.
6x-23+7x=14
Subtract 21 from -2 to get -23.
13x-23=14
Combine 6x and 7x to get 13x.
13x=14+23
Add 23 to both sides.
13x=37
Add 14 and 23 to get 37.
x=\frac{37}{13}
Divide both sides by 13.
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