Alles samen. Gebruik stappenplan en ZRM!
\(-7(3x-\frac{1}{3})=-8x+\frac{9}{7}\)
\(\text{(1) Haakjes (2) Breuken weg (3) + - (4) . /} \\
\begin{align}
& \color{red}{-7} (3x-\frac{1}{3})& = & -8x+\frac{9}{7} \\\Leftrightarrow & -21x+\frac{7}{3}& = & -8x+\frac{9}{7} \\ & & & \text{kgv van noemers 3 en 7 is 21} \\\Leftrightarrow & \color{blue}{21} .(\frac{-441}{ \color{blue}{21} }x+
\frac{49}{ \color{blue}{21} })& = & (\frac{-168}{ \color{blue}{21} }x+
\frac{27}{ \color{blue}{21} }). \color{blue}{21} \\\Leftrightarrow & -441x \color{red}{+49} & = & \color{red}{-168x} +27 \\\Leftrightarrow & -441x \color{red}{+49} \color{blue}{-49} \color{blue}{+168x} & = & \color{red}{-168x} +27 \color{blue}{+168x} \color{blue}{-49} \\\Leftrightarrow & -441x+168x& = & 27-49 \\\Leftrightarrow & \color{red}{-273} x& = & -22 \\\Leftrightarrow & x = \frac{-22}{-273} & & \\\Leftrightarrow & x = \frac{22}{273} & & \\ & V = \left\{ \frac{22}{273} \right\} & \\\end{align}\)
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