Bepaal de waarde van x.
- \(-6x-6=-10\)
- \(-15x-2=8\)
- \(6x+7=1\)
- \(3x-11=-1\)
- \(10x-14=13\)
- \(-3x+10=3\)
- \(7x+11=5\)
- \(7x-6=3\)
- \(12x-12=-5\)
- \(-11x-8=3\)
- \(-4x-15=14\)
- \(x-12=3\)
Bepaal de waarde van x.
Verbetersleutel
- \(\begin{align} & -6x \color{red}{-6}& = &-10 \\\Leftrightarrow & -6x \color{red}{-6}\color{blue}{+6}
& = &-10\color{blue}{+6} \\\Leftrightarrow &-6x
& = &-4\\\Leftrightarrow & \color{red}{-6}x
& = &-4\\\Leftrightarrow & \frac{\color{red}{-6}x}{ \color{blue}-6}
& = & \frac{-4}{-6} \\\Leftrightarrow & \color{green}{ x = \frac{2}{3} } & & \\ & V = \left\{ \frac{2}{3} \right\} & \\\end{align}\)
- \(\begin{align} & -15x \color{red}{-2}& = &8 \\\Leftrightarrow & -15x \color{red}{-2}\color{blue}{+2}
& = &8\color{blue}{+2} \\\Leftrightarrow &-15x
& = &10\\\Leftrightarrow & \color{red}{-15}x
& = &10\\\Leftrightarrow & \frac{\color{red}{-15}x}{ \color{blue}-15}
& = & \frac{10}{-15} \\\Leftrightarrow & \color{green}{ x = \frac{-2}{3} } & & \\ & V = \left\{ \frac{-2}{3} \right\} & \\\end{align}\)
- \(\begin{align} & 6x \color{red}{+7}& = &1 \\\Leftrightarrow & 6x \color{red}{+7}\color{blue}{-7}
& = &1\color{blue}{-7} \\\Leftrightarrow &6x
& = &-6\\\Leftrightarrow & \color{red}{6}x
& = &-6\\\Leftrightarrow & \frac{\color{red}{6}x}{ \color{blue}6}
& = & \frac{-6}{6} \\\Leftrightarrow & \color{green}{ x = -1 } & & \\ & V = \left\{ -1 \right\} & \\\end{align}\)
- \(\begin{align} & 3x \color{red}{-11}& = &-1 \\\Leftrightarrow & 3x \color{red}{-11}\color{blue}{+11}
& = &-1\color{blue}{+11} \\\Leftrightarrow &3x
& = &10\\\Leftrightarrow & \color{red}{3}x
& = &10\\\Leftrightarrow & \frac{\color{red}{3}x}{ \color{blue}3}
& = & \frac{10}{3} \\\Leftrightarrow & \color{green}{ x = \frac{10}{3} } & & \\ & V = \left\{ \frac{10}{3} \right\} & \\\end{align}\)
- \(\begin{align} & 10x \color{red}{-14}& = &13 \\\Leftrightarrow & 10x \color{red}{-14}\color{blue}{+14}
& = &13\color{blue}{+14} \\\Leftrightarrow &10x
& = &27\\\Leftrightarrow & \color{red}{10}x
& = &27\\\Leftrightarrow & \frac{\color{red}{10}x}{ \color{blue}10}
& = & \frac{27}{10} \\\Leftrightarrow & \color{green}{ x = \frac{27}{10} } & & \\ & V = \left\{ \frac{27}{10} \right\} & \\\end{align}\)
- \(\begin{align} & -3x \color{red}{+10}& = &3 \\\Leftrightarrow & -3x \color{red}{+10}\color{blue}{-10}
& = &3\color{blue}{-10} \\\Leftrightarrow &-3x
& = &-7\\\Leftrightarrow & \color{red}{-3}x
& = &-7\\\Leftrightarrow & \frac{\color{red}{-3}x}{ \color{blue}-3}
& = & \frac{-7}{-3} \\\Leftrightarrow & \color{green}{ x = \frac{7}{3} } & & \\ & V = \left\{ \frac{7}{3} \right\} & \\\end{align}\)
- \(\begin{align} & 7x \color{red}{+11}& = &5 \\\Leftrightarrow & 7x \color{red}{+11}\color{blue}{-11}
& = &5\color{blue}{-11} \\\Leftrightarrow &7x
& = &-6\\\Leftrightarrow & \color{red}{7}x
& = &-6\\\Leftrightarrow & \frac{\color{red}{7}x}{ \color{blue}7}
& = & \frac{-6}{7} \\\Leftrightarrow & \color{green}{ x = \frac{-6}{7} } & & \\ & V = \left\{ \frac{-6}{7} \right\} & \\\end{align}\)
- \(\begin{align} & 7x \color{red}{-6}& = &3 \\\Leftrightarrow & 7x \color{red}{-6}\color{blue}{+6}
& = &3\color{blue}{+6} \\\Leftrightarrow &7x
& = &9\\\Leftrightarrow & \color{red}{7}x
& = &9\\\Leftrightarrow & \frac{\color{red}{7}x}{ \color{blue}7}
& = & \frac{9}{7} \\\Leftrightarrow & \color{green}{ x = \frac{9}{7} } & & \\ & V = \left\{ \frac{9}{7} \right\} & \\\end{align}\)
- \(\begin{align} & 12x \color{red}{-12}& = &-5 \\\Leftrightarrow & 12x \color{red}{-12}\color{blue}{+12}
& = &-5\color{blue}{+12} \\\Leftrightarrow &12x
& = &7\\\Leftrightarrow & \color{red}{12}x
& = &7\\\Leftrightarrow & \frac{\color{red}{12}x}{ \color{blue}12}
& = & \frac{7}{12} \\\Leftrightarrow & \color{green}{ x = \frac{7}{12} } & & \\ & V = \left\{ \frac{7}{12} \right\} & \\\end{align}\)
- \(\begin{align} & -11x \color{red}{-8}& = &3 \\\Leftrightarrow & -11x \color{red}{-8}\color{blue}{+8}
& = &3\color{blue}{+8} \\\Leftrightarrow &-11x
& = &11\\\Leftrightarrow & \color{red}{-11}x
& = &11\\\Leftrightarrow & \frac{\color{red}{-11}x}{ \color{blue}-11}
& = & \frac{11}{-11} \\\Leftrightarrow & \color{green}{ x = -1 } & & \\ & V = \left\{ -1 \right\} & \\\end{align}\)
- \(\begin{align} & -4x \color{red}{-15}& = &14 \\\Leftrightarrow & -4x \color{red}{-15}\color{blue}{+15}
& = &14\color{blue}{+15} \\\Leftrightarrow &-4x
& = &29\\\Leftrightarrow & \color{red}{-4}x
& = &29\\\Leftrightarrow & \frac{\color{red}{-4}x}{ \color{blue}-4}
& = & \frac{29}{-4} \\\Leftrightarrow & \color{green}{ x = \frac{-29}{4} } & & \\ & V = \left\{ \frac{-29}{4} \right\} & \\\end{align}\)
- \(\begin{align} & x \color{red}{-12}& = &3 \\\Leftrightarrow & x \color{red}{-12}\color{blue}{+12}
& = &3\color{blue}{+12} \\\Leftrightarrow &x
& = &15\\\Leftrightarrow & \color{red}{}x
& = &15\\\Leftrightarrow & \frac{\color{red}{}x}{ \color{blue}1}
& = & 15 \\\Leftrightarrow & \color{green}{ x = 15 } & & \\ & V = \left\{ 15 \right\} & \\\end{align}\)