Vgln. eerste graad (reeks 3)

Reeks met haakjes

\(6(6x+4)=-14-(-9-5x)\)

\(\begin{align} & \color{red}{6} (6x+4)& = & -14 \color{red}{-} (-9-5x) \\\Leftrightarrow & 36x+24& = &-14+9+5x \\\Leftrightarrow & 36x \color{red}{+24} & = &-5 \color{red}{+5x} \\\Leftrightarrow & 36x \color{red}{+24} \color{blue}{-24} \color{blue}{-5x} & = &-5 \color{red}{+5x} \color{blue}{-5x} \color{blue}{-24} \\\Leftrightarrow & 36x-5x& = &-5-24 \\\Leftrightarrow & 31x& = &-29 \\\Leftrightarrow & \frac{31x}{ \color{red}{31} }& = &\frac{-29}{ \color{red}{31} } \\\Leftrightarrow & x = \frac{-29}{31} & & \\ & V = \left\{ \frac{-29}{31} \right\} & \\\end{align}\)