Vgln. eerste graad (reeks 3)

Reeks met haakjes

\(4(4x-2)=-8+(-15+3x)\)

\(\begin{align} & \color{red}{4} (4x-2)& = & -8 \color{red}{+} (-15+3x) \\\Leftrightarrow & 16x-8& = &-8-15+3x \\\Leftrightarrow & 16x \color{red}{-8} & = &-23 \color{red}{+3x} \\\Leftrightarrow & 16x \color{red}{-8} \color{blue}{+8} \color{blue}{-3x} & = &-23 \color{red}{+3x} \color{blue}{-3x} \color{blue}{+8} \\\Leftrightarrow & 16x-3x& = &-23+8 \\\Leftrightarrow & 13x& = &-15 \\\Leftrightarrow & \frac{13x}{ \color{red}{13} }& = &\frac{-15}{ \color{red}{13} } \\\Leftrightarrow & x = \frac{-15}{13} & & \\ & V = \left\{ \frac{-15}{13} \right\} & \\\end{align}\)