Vgln. eerste graad (reeks 3)

Reeks met haakjes

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

\(\begin{align} & \color{red}{3} (6x-5)& = & 14 \color{red}{+} (3-5x) \\\Leftrightarrow & 18x-15& = &14+3-5x \\\Leftrightarrow & 18x \color{red}{-15} & = &17 \color{red}{-5x} \\\Leftrightarrow & 18x \color{red}{-15} \color{blue}{+15} \color{blue}{+5x} & = &17 \color{red}{-5x} \color{blue}{+5x} \color{blue}{+15} \\\Leftrightarrow & 18x+5x& = &17+15 \\\Leftrightarrow & 23x& = &32 \\\Leftrightarrow & \frac{23x}{ \color{red}{23} }& = &\frac{32}{ \color{red}{23} } \\\Leftrightarrow & x = \frac{32}{23} & & \\ & V = \left\{ \frac{32}{23} \right\} & \\\end{align}\)