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1-x=2\left(x-3\right)
Variable x cannot be equal to 3 since division by zero is not defined. Multiply both sides of the equation by x-3, the least common multiple of x-3,3-x.
1-x=2x-6
Use the distributive property to multiply 2 by x-3.
1-x-2x=-6
Subtract 2x from both sides.
1-3x=-6
Combine -x and -2x to get -3x.
-3x=-6-1
Subtract 1 from both sides.
-3x=-7
Subtract 1 from -6 to get -7.
x=\frac{-7}{-3}
Divide both sides by -3.
x=\frac{7}{3}
Fraction \frac{-7}{-3} can be simplified to \frac{7}{3} by removing the negative sign from both the numerator and the denominator.