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\(\frac{x}{3}+\frac{4}{13}=\frac{-3}{4}x-1\)
\(\text{156 is het kleinste gemene veelvoud van 3, 13 en 4} \\ \begin{align} & \frac{x}{3}+\frac{4}{13}& = & \frac{-3}{4}x-1 \\\Leftrightarrow & \color{blue}{156.} (\frac{52x}{ \color{blue}{156} }+
\frac{ 48 }{ \color{blue}{156} })& = & (\frac{-117}{ \color{blue}{156} }x-\frac{156}{ \color{blue}{156} })
\color{blue}{.156} \\\Leftrightarrow & 52x+48& = & -117x-156 \\\Leftrightarrow & 52x \color{red}{+48} \color{blue}{-48} \color{blue}{+117x} & = & \color{red}{-117x} -156 \color{blue}{+117x} \color{blue}{-48} \\\Leftrightarrow & 169x& = & -204 \\\Leftrightarrow & \frac{169x}{ \color{red}{169} }& = & \frac{-204}{169} \\\Leftrightarrow & x = \frac{-204}{169} & & \\ & V = \left\{ \frac{-204}{169} \right\} & \\\end{align}\)