Vgln. eerste graad (reeks 3)

Reeks met haakjes

\(2(-3x+6)=14+(4-5x)\)

\(\begin{align} & \color{red}{2} (-3x+6)& = & 14 \color{red}{+} (4-5x) \\\Leftrightarrow & -6x+12& = &14+4-5x \\\Leftrightarrow & -6x \color{red}{+12} & = &18 \color{red}{-5x} \\\Leftrightarrow & -6x \color{red}{+12} \color{blue}{-12} \color{blue}{+5x} & = &18 \color{red}{-5x} \color{blue}{+5x} \color{blue}{-12} \\\Leftrightarrow & -6x+5x& = &18-12 \\\Leftrightarrow & -x& = &6 \\\Leftrightarrow & \frac{-x}{ \color{red}{-1} }& = &\frac{6}{ \color{red}{-1} } \\\Leftrightarrow & x = -6 & & \\ & V = \left\{ -6 \right\} & \\\end{align}\)