Vgln. eerste graad (reeks 3)

Reeks met haakjes

\(5(-5x+2)=4-(-12+4x)\)

\(\begin{align} & \color{red}{5} (-5x+2)& = & 4 \color{red}{-} (-12+4x) \\\Leftrightarrow & -25x+10& = &4+12-4x \\\Leftrightarrow & -25x \color{red}{+10} & = &16 \color{red}{-4x} \\\Leftrightarrow & -25x \color{red}{+10} \color{blue}{-10} \color{blue}{+4x} & = &16 \color{red}{-4x} \color{blue}{+4x} \color{blue}{-10} \\\Leftrightarrow & -25x+4x& = &16-10 \\\Leftrightarrow & -21x& = &6 \\\Leftrightarrow & \frac{-21x}{ \color{red}{-21} }& = &\frac{6}{ \color{red}{-21} } \\\Leftrightarrow & x = \frac{-2}{7} & & \\ & V = \left\{ \frac{-2}{7} \right\} & \\\end{align}\)