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x+1=\left(3x-2\right)\times 2
Variable x cannot be equal to \frac{2}{3} since division by zero is not defined. Multiply both sides of the equation by 3x-2.
x+1=6x-4
Use the distributive property to multiply 3x-2 by 2.
x+1-6x=-4
Subtract 6x from both sides.
-5x+1=-4
Combine x and -6x to get -5x.
-5x=-4-1
Subtract 1 from both sides.
-5x=-5
Subtract 1 from -4 to get -5.
x=\frac{-5}{-5}
Divide both sides by -5.
x=1
Divide -5 by -5 to get 1.