Vgln. eerste graad (reeks 3)

Reeks met haakjes

\(6(5x+1)=-11-(-15+x)\)

\(\begin{align} & \color{red}{6} (5x+1)& = & -11 \color{red}{-} (-15+x) \\\Leftrightarrow & 30x+6& = &-11+15-x \\\Leftrightarrow & 30x \color{red}{+6} & = &4 \color{red}{-x} \\\Leftrightarrow & 30x \color{red}{+6} \color{blue}{-6} \color{blue}{+x} & = &4 \color{red}{-x} \color{blue}{+x} \color{blue}{-6} \\\Leftrightarrow & 30x+x& = &4-6 \\\Leftrightarrow & 31x& = &-2 \\\Leftrightarrow & \frac{31x}{ \color{red}{31} }& = &\frac{-2}{ \color{red}{31} } \\\Leftrightarrow & x = \frac{-2}{31} & & \\ & V = \left\{ \frac{-2}{31} \right\} & \\\end{align}\)