Solve for x
x=0
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x-2=2\left(3x-1\right)
Variable x cannot be equal to \frac{1}{3} since division by zero is not defined. Multiply both sides of the equation by 3x-1.
x-2=6x-2
Use the distributive property to multiply 2 by 3x-1.
x-2-6x=-2
Subtract 6x from both sides.
-5x-2=-2
Combine x and -6x to get -5x.
-5x=-2+2
Add 2 to both sides.
-5x=0
Add -2 and 2 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since -5 is not equal to 0, x must be equal to 0.
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