Vgln. eerste graad (reeks 3)

Reeks met haakjes

\(6(4x+3)=12+(-8+x)\)

\(\begin{align} & \color{red}{6} (4x+3)& = & 12 \color{red}{+} (-8+x) \\\Leftrightarrow & 24x+18& = &12-8+x \\\Leftrightarrow & 24x \color{red}{+18} & = &4 \color{red}{+x} \\\Leftrightarrow & 24x \color{red}{+18} \color{blue}{-18} \color{blue}{-x} & = &4 \color{red}{+x} \color{blue}{-x} \color{blue}{-18} \\\Leftrightarrow & 24x-x& = &4-18 \\\Leftrightarrow & 23x& = &-14 \\\Leftrightarrow & \frac{23x}{ \color{red}{23} }& = &\frac{-14}{ \color{red}{23} } \\\Leftrightarrow & x = \frac{-14}{23} & & \\ & V = \left\{ \frac{-14}{23} \right\} & \\\end{align}\)