Question

Answer 1

h)

\(0,5x-\dfrac{2}{3}\left(x+1\right)=-\dfrac{1}{12}\\ \Leftrightarrow\left[{}\begin{matrix}0,5x=-\dfrac{1}{12}\\-\dfrac{2}{3}\left(x+1\right)=-\dfrac{1}{12}\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x=-\dfrac{1}{6}\\-\dfrac{2}{3}x+\dfrac{1}{3}=-\dfrac{1}{12}\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x=-\dfrac{1}{6}\\x=\dfrac{3}{4}\end{matrix}\right.\)

Answer 2

1/2.x - 2/3.x - 2/3=-1/12

x(1/2-2/3) - 2/3=-1/12

x.(-1/6)=-1/12+2/3

x.(-1/6)=7/12

x=7/12:(-1/6)

x=-7/2