Vgln. eerste graad

Bepaal de waarde x. Bij wiskundetaal en vraagstukken, gebruik x om op te lossen.

\(4(-5x-6)=12-(-3+x)\)

\(\begin{align} & \color{red}{4} (-5x-6)& = & 12 \color{red}{-} (-3+x) \\\Leftrightarrow & -20x-24& = &12+3-x \\\Leftrightarrow & -20x \color{red}{-24} & = &15 \color{red}{-x} \\\Leftrightarrow & -20x \color{red}{-24} \color{blue}{+24} \color{blue}{+x} & = &15 \color{red}{-x} \color{blue}{+x} \color{blue}{+24} \\\Leftrightarrow & -20x+x& = &15+24 \\\Leftrightarrow & -19x& = &39 \\\Leftrightarrow & \frac{-19x}{ \color{red}{-19} }& = &\frac{39}{ \color{red}{-19} } \\\Leftrightarrow & x = \frac{-39}{19} & & \\ & V = \left\{ \frac{-39}{19} \right\} & \\\end{align}\)