Bepaal de waarde x. Bij wiskundetaal en vraagstukken, gebruik x om op te lossen.
\(6(-4x+\frac{3}{5})=-5x+\frac{7}{3}\)
\(\text{(1) Haakjes (2) Breuken weg (3) + - (4) . /} \\
\begin{align}
& \color{red}{6} (-4x+\frac{3}{5})& = & -5x+\frac{7}{3} \\\Leftrightarrow & -24x+\frac{18}{5}& = & -5x+\frac{7}{3} \\ & & & \text{kgv van noemers 5 en 3 is 15} \\\Leftrightarrow & \color{blue}{15} .(\frac{-360}{ \color{blue}{15} }x+
\frac{54}{ \color{blue}{15} })& = & (\frac{-75}{ \color{blue}{15} }x+
\frac{35}{ \color{blue}{15} }). \color{blue}{15} \\\Leftrightarrow & -360x \color{red}{+54} & = & \color{red}{-75x} +35 \\\Leftrightarrow & -360x \color{red}{+54} \color{blue}{-54} \color{blue}{+75x} & = & \color{red}{-75x} +35 \color{blue}{+75x} \color{blue}{-54} \\\Leftrightarrow & -360x+75x& = & 35-54 \\\Leftrightarrow & \color{red}{-285} x& = & -19 \\\Leftrightarrow & x = \frac{-19}{-285} & & \\\Leftrightarrow & x = \frac{1}{15} & & \\ & V = \left\{ \frac{1}{15} \right\} & \\\end{align}\)