Solve for x
x = \frac{19}{12} = 1\frac{7}{12} \approx 1.583333333
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4=3\times 3+12\left(x-2\right)
Variable x cannot be equal to 2 since division by zero is not defined. Multiply both sides of the equation by 12\left(x-2\right), the least common multiple of 3x-6,4x-8.
4=9+12\left(x-2\right)
Multiply 3 and 3 to get 9.
4=9+12x-24
Use the distributive property to multiply 12 by x-2.
4=-15+12x
Subtract 24 from 9 to get -15.
-15+12x=4
Swap sides so that all variable terms are on the left hand side.
12x=4+15
Add 15 to both sides.
12x=19
Add 4 and 15 to get 19.
x=\frac{19}{12}
Divide both sides by 12.
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