Vgln. eerste graad (reeks 3)

Reeks met haakjes

\(5(5x+6)=4-(-14+2x)\)

\(\begin{align} & \color{red}{5} (5x+6)& = & 4 \color{red}{-} (-14+2x) \\\Leftrightarrow & 25x+30& = &4+14-2x \\\Leftrightarrow & 25x \color{red}{+30} & = &18 \color{red}{-2x} \\\Leftrightarrow & 25x \color{red}{+30} \color{blue}{-30} \color{blue}{+2x} & = &18 \color{red}{-2x} \color{blue}{+2x} \color{blue}{-30} \\\Leftrightarrow & 25x+2x& = &18-30 \\\Leftrightarrow & 27x& = &-12 \\\Leftrightarrow & \frac{27x}{ \color{red}{27} }& = &\frac{-12}{ \color{red}{27} } \\\Leftrightarrow & x = \frac{-4}{9} & & \\ & V = \left\{ \frac{-4}{9} \right\} & \\\end{align}\)