Vgln. eerste graad (reeks 3)

Reeks met haakjes

\(5(-2x+6)=14-(7+x)\)

\(\begin{align} & \color{red}{5} (-2x+6)& = & 14 \color{red}{-} (7+x) \\\Leftrightarrow & -10x+30& = &14-7-x \\\Leftrightarrow & -10x \color{red}{+30} & = &7 \color{red}{-x} \\\Leftrightarrow & -10x \color{red}{+30} \color{blue}{-30} \color{blue}{+x} & = &7 \color{red}{-x} \color{blue}{+x} \color{blue}{-30} \\\Leftrightarrow & -10x+x& = &7-30 \\\Leftrightarrow & -9x& = &-23 \\\Leftrightarrow & \frac{-9x}{ \color{red}{-9} }& = &\frac{-23}{ \color{red}{-9} } \\\Leftrightarrow & x = \frac{23}{9} & & \\ & V = \left\{ \frac{23}{9} \right\} & \\\end{align}\)