Bepaal de waarde van x.
- \(14x-2=-8\)
- \(-3x+3=6\)
- \(-7x+12=3\)
- \(-11x+12=-4\)
- \(-7x+4=-14\)
- \(x-2=5\)
- \(-9x+4=5\)
- \(-5x+6=14\)
- \(-5x-14=-5\)
- \(10x-14=-3\)
- \(-4x-15=12\)
- \(5x+2=-13\)
Bepaal de waarde van x.
Verbetersleutel
- \(\begin{align} & 14x \color{red}{-2}& = &-8 \\\Leftrightarrow & 14x \color{red}{-2}\color{blue}{+2}
& = &-8\color{blue}{+2} \\\Leftrightarrow &14x
& = &-6\\\Leftrightarrow & \color{red}{14}x
& = &-6\\\Leftrightarrow & \frac{\color{red}{14}x}{ \color{blue}14}
& = & \frac{-6}{14} \\\Leftrightarrow & \color{green}{ x = \frac{-3}{7} } & & \\ & V = \left\{ \frac{-3}{7} \right\} & \\\end{align}\)
- \(\begin{align} & -3x \color{red}{+3}& = &6 \\\Leftrightarrow & -3x \color{red}{+3}\color{blue}{-3}
& = &6\color{blue}{-3} \\\Leftrightarrow &-3x
& = &3\\\Leftrightarrow & \color{red}{-3}x
& = &3\\\Leftrightarrow & \frac{\color{red}{-3}x}{ \color{blue}-3}
& = & \frac{3}{-3} \\\Leftrightarrow & \color{green}{ x = -1 } & & \\ & V = \left\{ -1 \right\} & \\\end{align}\)
- \(\begin{align} & -7x \color{red}{+12}& = &3 \\\Leftrightarrow & -7x \color{red}{+12}\color{blue}{-12}
& = &3\color{blue}{-12} \\\Leftrightarrow &-7x
& = &-9\\\Leftrightarrow & \color{red}{-7}x
& = &-9\\\Leftrightarrow & \frac{\color{red}{-7}x}{ \color{blue}-7}
& = & \frac{-9}{-7} \\\Leftrightarrow & \color{green}{ x = \frac{9}{7} } & & \\ & V = \left\{ \frac{9}{7} \right\} & \\\end{align}\)
- \(\begin{align} & -11x \color{red}{+12}& = &-4 \\\Leftrightarrow & -11x \color{red}{+12}\color{blue}{-12}
& = &-4\color{blue}{-12} \\\Leftrightarrow &-11x
& = &-16\\\Leftrightarrow & \color{red}{-11}x
& = &-16\\\Leftrightarrow & \frac{\color{red}{-11}x}{ \color{blue}-11}
& = & \frac{-16}{-11} \\\Leftrightarrow & \color{green}{ x = \frac{16}{11} } & & \\ & V = \left\{ \frac{16}{11} \right\} & \\\end{align}\)
- \(\begin{align} & -7x \color{red}{+4}& = &-14 \\\Leftrightarrow & -7x \color{red}{+4}\color{blue}{-4}
& = &-14\color{blue}{-4} \\\Leftrightarrow &-7x
& = &-18\\\Leftrightarrow & \color{red}{-7}x
& = &-18\\\Leftrightarrow & \frac{\color{red}{-7}x}{ \color{blue}-7}
& = & \frac{-18}{-7} \\\Leftrightarrow & \color{green}{ x = \frac{18}{7} } & & \\ & V = \left\{ \frac{18}{7} \right\} & \\\end{align}\)
- \(\begin{align} & x \color{red}{-2}& = &5 \\\Leftrightarrow & x \color{red}{-2}\color{blue}{+2}
& = &5\color{blue}{+2} \\\Leftrightarrow &x
& = &7\\\Leftrightarrow & \color{red}{}x
& = &7\\\Leftrightarrow & \frac{\color{red}{}x}{ \color{blue}1}
& = & 7 \\\Leftrightarrow & \color{green}{ x = 7 } & & \\ & V = \left\{ 7 \right\} & \\\end{align}\)
- \(\begin{align} & -9x \color{red}{+4}& = &5 \\\Leftrightarrow & -9x \color{red}{+4}\color{blue}{-4}
& = &5\color{blue}{-4} \\\Leftrightarrow &-9x
& = &1\\\Leftrightarrow & \color{red}{-9}x
& = &1\\\Leftrightarrow & \frac{\color{red}{-9}x}{ \color{blue}-9}
& = & \frac{1}{-9} \\\Leftrightarrow & \color{green}{ x = \frac{-1}{9} } & & \\ & V = \left\{ \frac{-1}{9} \right\} & \\\end{align}\)
- \(\begin{align} & -5x \color{red}{+6}& = &14 \\\Leftrightarrow & -5x \color{red}{+6}\color{blue}{-6}
& = &14\color{blue}{-6} \\\Leftrightarrow &-5x
& = &8\\\Leftrightarrow & \color{red}{-5}x
& = &8\\\Leftrightarrow & \frac{\color{red}{-5}x}{ \color{blue}-5}
& = & \frac{8}{-5} \\\Leftrightarrow & \color{green}{ x = \frac{-8}{5} } & & \\ & V = \left\{ \frac{-8}{5} \right\} & \\\end{align}\)
- \(\begin{align} & -5x \color{red}{-14}& = &-5 \\\Leftrightarrow & -5x \color{red}{-14}\color{blue}{+14}
& = &-5\color{blue}{+14} \\\Leftrightarrow &-5x
& = &9\\\Leftrightarrow & \color{red}{-5}x
& = &9\\\Leftrightarrow & \frac{\color{red}{-5}x}{ \color{blue}-5}
& = & \frac{9}{-5} \\\Leftrightarrow & \color{green}{ x = \frac{-9}{5} } & & \\ & V = \left\{ \frac{-9}{5} \right\} & \\\end{align}\)
- \(\begin{align} & 10x \color{red}{-14}& = &-3 \\\Leftrightarrow & 10x \color{red}{-14}\color{blue}{+14}
& = &-3\color{blue}{+14} \\\Leftrightarrow &10x
& = &11\\\Leftrightarrow & \color{red}{10}x
& = &11\\\Leftrightarrow & \frac{\color{red}{10}x}{ \color{blue}10}
& = & \frac{11}{10} \\\Leftrightarrow & \color{green}{ x = \frac{11}{10} } & & \\ & V = \left\{ \frac{11}{10} \right\} & \\\end{align}\)
- \(\begin{align} & -4x \color{red}{-15}& = &12 \\\Leftrightarrow & -4x \color{red}{-15}\color{blue}{+15}
& = &12\color{blue}{+15} \\\Leftrightarrow &-4x
& = &27\\\Leftrightarrow & \color{red}{-4}x
& = &27\\\Leftrightarrow & \frac{\color{red}{-4}x}{ \color{blue}-4}
& = & \frac{27}{-4} \\\Leftrightarrow & \color{green}{ x = \frac{-27}{4} } & & \\ & V = \left\{ \frac{-27}{4} \right\} & \\\end{align}\)
- \(\begin{align} & 5x \color{red}{+2}& = &-13 \\\Leftrightarrow & 5x \color{red}{+2}\color{blue}{-2}
& = &-13\color{blue}{-2} \\\Leftrightarrow &5x
& = &-15\\\Leftrightarrow & \color{red}{5}x
& = &-15\\\Leftrightarrow & \frac{\color{red}{5}x}{ \color{blue}5}
& = & \frac{-15}{5} \\\Leftrightarrow & \color{green}{ x = -3 } & & \\ & V = \left\{ -3 \right\} & \\\end{align}\)