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2x-2\left(3x-2\right)=1x
Multiply both sides of the equation by 4, the least common multiple of 2,4.
2x-6x+4=1x
Use the distributive property to multiply -2 by 3x-2.
-4x+4=1x
Combine 2x and -6x to get -4x.
-4x+4-x=0
Subtract 1x from both sides.
-5x+4=0
Combine -4x and -x to get -5x.
-5x=-4
Subtract 4 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-4}{-5}
Divide both sides by -5.
x=\frac{4}{5}
Fraction \frac{-4}{-5} can be simplified to \frac{4}{5} by removing the negative sign from both the numerator and the denominator.