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\(\frac{x}{3}+\frac{5}{11}=\frac{-3}{4}x+8\)
\(\text{132 is het kleinste gemene veelvoud van 3, 11 en 4} \\ \begin{align} & \frac{x}{3}+\frac{5}{11}& = & \frac{-3}{4}x+8 \\\Leftrightarrow & \color{blue}{132.} (\frac{44x}{ \color{blue}{132} }+
\frac{ 60 }{ \color{blue}{132} })& = & (\frac{-99}{ \color{blue}{132} }x+\frac{1056}{ \color{blue}{132} })
\color{blue}{.132} \\\Leftrightarrow & 44x+60& = & -99x+1056 \\\Leftrightarrow & 44x \color{red}{+60} \color{blue}{-60} \color{blue}{+99x} & = & \color{red}{-99x} +1056 \color{blue}{+99x} \color{blue}{-60} \\\Leftrightarrow & 143x& = & 996 \\\Leftrightarrow & \frac{143x}{ \color{red}{143} }& = & \frac{996}{143} \\\Leftrightarrow & x = \frac{996}{143} & & \\ & V = \left\{ \frac{996}{143} \right\} & \\\end{align}\)