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Formula
Solve the equation
Answer
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Graph
$y = 1 - 2 x$
$y = - \left ( x - 5 \right )$
$x$Intercept
$\left ( \dfrac { 1 } { 2 } , 0 \right )$
$y$Intercept
$\left ( 0 , 1 \right )$
$x$Intercept
$\left ( 5 , 0 \right )$
$y$Intercept
$\left ( 0 , 5 \right )$
$1-2x = - \left( x-5 \right)$
$x = - 4$
$ $ Solve a solution to $ x$
$1 - 2 x = \color{#FF6800}{ - } \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \right )$
$ $ Change the symbol of each term in parentheses when there is a (-) symbol in front of parentheses $ $
$1 - 2 x = \color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 5 }$
$\color{#FF6800}{ 1 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } = - x + 5$
$ $ Organize the expression $ $
$\color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 1 } = - x + 5$
$- 2 x + 1 = \color{#FF6800}{ - } \color{#FF6800}{ x } + 5$
$ $ Move the variable to the left-hand side and change the symbol $ $
$- 2 x + 1 \color{#FF6800}{ + } \color{#FF6800}{ x } = 5$
$- 2 x \color{#FF6800}{ + } \color{#FF6800}{ 1 } + x = 5$
$ $ Move the constant to the right side and change the sign $ $
$- 2 x + x = 5 \color{#FF6800}{ - } \color{#FF6800}{ 1 }$
$\color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ x } = 5 - 1$
$ $ Organize the expression $ $
$\color{#FF6800}{ - } \color{#FF6800}{ x } = 5 - 1$
$- x = \color{#FF6800}{ 5 } \color{#FF6800}{ - } \color{#FF6800}{ 1 }$
$ $ Subtract $ 1 $ from $ 5$
$- x = \color{#FF6800}{ 4 }$
$\color{#FF6800}{ - } \color{#FF6800}{ x } = \color{#FF6800}{ 4 }$
$ $ Change the sign of both sides of the equation $ $
$\color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ 4 }$
$x = - 4$
Solve the fractional equation
$\color{#FF6800}{ 1 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } = \color{#FF6800}{ - } \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \right )$
$ $ Solve a solution to $ x$
$\color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ 4 }$
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