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Solve the equation
Answer
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Graph
$y = 2 - x$
$y = x - 8$
$x$Intercept
$\left ( 2 , 0 \right )$
$y$Intercept
$\left ( 0 , 2 \right )$
$x$Intercept
$\left ( 8 , 0 \right )$
$y$Intercept
$\left ( 0 , - 8 \right )$
$2-x = x-8$
$x = 5$
$ $ Solve a solution to $ x$
$\color{#FF6800}{ 2 } \color{#FF6800}{ - } \color{#FF6800}{ x } = x - 8$
$ $ Organize the expression $ $
$\color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 2 } = x - 8$
$- x + 2 = \color{#FF6800}{ x } - 8$
$ $ Move the variable to the left-hand side and change the symbol $ $
$- x + 2 \color{#FF6800}{ - } \color{#FF6800}{ x } = - 8$
$- x \color{#FF6800}{ + } \color{#FF6800}{ 2 } - x = - 8$
$ $ Move the constant to the right side and change the sign $ $
$- x - x = - 8 \color{#FF6800}{ - } \color{#FF6800}{ 2 }$
$\color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ x } = - 8 - 2$
$ $ Organize the expression $ $
$\color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } = - 8 - 2$
$- 2 x = \color{#FF6800}{ - } \color{#FF6800}{ 8 } \color{#FF6800}{ - } \color{#FF6800}{ 2 }$
$ $ Find the sum of the negative numbers $ $
$- 2 x = \color{#FF6800}{ - } \color{#FF6800}{ 10 }$
$\color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ 10 }$
$ $ Change the sign of both sides of the equation $ $
$2 x = 10$
$\color{#FF6800}{ 2 } \color{#FF6800}{ x } = \color{#FF6800}{ 10 }$
$ $ Divide both sides by the same number $ $
$\color{#FF6800}{ x } = \color{#FF6800}{ 5 }$
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