Question

2/3.x - 1/3 = 3x -2(x-1) 

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Answer 1

\(\dfrac{2x}{3}-\dfrac{1}{3}=3x-2x+2\Leftrightarrow\dfrac{2x-1}{3}=x+2\)

\(\Rightarrow2x-1=3x+6\Leftrightarrow x=-7\)

Answer 2

\(\dfrac{2}{3}x-\dfrac{1}{3}=3x-2\left(x-1\right)\)

\(\Rightarrow\dfrac{2}{3}x-\dfrac{1}{3}=3x-2x+2\)

\(\Rightarrow3x-2x-\dfrac{2}{3}x=-\dfrac{1}{3}-2\)

\(\Rightarrow\dfrac{1}{3}x=-\dfrac{7}{3}\Rightarrow x=-7\)

Answer 3

\(\dfrac{2}{3}x-\dfrac{1}{3}=3x-2x+2\)

\(\dfrac{2x}{3}-\dfrac{1}{3}=3x-2x+2\)

\(\dfrac{2x}{3}-\dfrac{1}{3}=x-2\)

\(2x-1=3x+6\)

\(2x-1-3x=6\)

\(2x-3x=6+1\)

\(-x=7\Leftrightarrow x=-7\)