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\(\frac{x}{3}-\frac{4}{7}=\frac{1}{2}x-4\)
\(\text{42 is het kleinste gemene veelvoud van 3, 7 en 2} \\ \begin{align} & \frac{x}{3}-\frac{4}{7}& = & \frac{1}{2}x-4 \\\Leftrightarrow & \color{blue}{42.} (\frac{14x}{ \color{blue}{42} }-
\frac{ 24 }{ \color{blue}{42} })& = & (\frac{21}{ \color{blue}{42} }x-\frac{168}{ \color{blue}{42} })
\color{blue}{.42} \\\Leftrightarrow & 14x-24& = & 21x-168 \\\Leftrightarrow & 14x \color{red}{-24} \color{blue}{+24} \color{blue}{-21x} & = & \color{red}{21x} -168 \color{blue}{-21x} \color{blue}{+24} \\\Leftrightarrow & -7x& = & -144 \\\Leftrightarrow & \frac{-7x}{ \color{red}{-7} }& = & \frac{-144}{-7} \\\Leftrightarrow & x = \frac{144}{7} & & \\ & V = \left\{ \frac{144}{7} \right\} & \\\end{align}\)