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Formula
Solve the equation
Answer
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Graph
$y = x - 8$
$y = 2 x - 4$
$x$Intercept
$\left ( 8 , 0 \right )$
$y$Intercept
$\left ( 0 , - 8 \right )$
$x$Intercept
$\left ( 2 , 0 \right )$
$y$Intercept
$\left ( 0 , - 4 \right )$
$x-8 = 2x-4$
$x = - 4$
$ $ Solve a solution to $ x$
$x - 8 = \color{#FF6800}{ 2 } \color{#FF6800}{ x } - 4$
$ $ Move the variable to the left-hand side and change the symbol $ $
$x - 8 \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } = - 4$
$x \color{#FF6800}{ - } \color{#FF6800}{ 8 } - 2 x = - 4$
$ $ Move the constant to the right side and change the sign $ $
$x - 2 x = - 4 \color{#FF6800}{ + } \color{#FF6800}{ 8 }$
$\color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } = - 4 + 8$
$ $ Organize the expression $ $
$\color{#FF6800}{ - } \color{#FF6800}{ x } = - 4 + 8$
$- x = \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ + } \color{#FF6800}{ 8 }$
$ $ Add $ - 4 $ and $ 8$
$- x = \color{#FF6800}{ 4 }$
$\color{#FF6800}{ - } \color{#FF6800}{ x } = \color{#FF6800}{ 4 }$
$ $ Change the sign of both sides of the equation $ $
$\color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ 4 }$
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