Vgln. eerste graad (reeks 3)

Reeks met haakjes

\(5(6x-5)=7+(12+x)\)

\(\begin{align} & \color{red}{5} (6x-5)& = & 7 \color{red}{+} (12+x) \\\Leftrightarrow & 30x-25& = &7+12+x \\\Leftrightarrow & 30x \color{red}{-25} & = &19 \color{red}{+x} \\\Leftrightarrow & 30x \color{red}{-25} \color{blue}{+25} \color{blue}{-x} & = &19 \color{red}{+x} \color{blue}{-x} \color{blue}{+25} \\\Leftrightarrow & 30x-x& = &19+25 \\\Leftrightarrow & 29x& = &44 \\\Leftrightarrow & \frac{29x}{ \color{red}{29} }& = &\frac{44}{ \color{red}{29} } \\\Leftrightarrow & x = \frac{44}{29} & & \\ & V = \left\{ \frac{44}{29} \right\} & \\\end{align}\)