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Solve the equation
Answer
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Graph
$y = - 4 x - 2$
$y = 3$
$x$Intercept
$\left ( - \dfrac { 1 } { 2 } , 0 \right )$
$y$Intercept
$\left ( 0 , - 2 \right )$
$x = - \dfrac { 5 } { 4 }$
$ $ Solve a solution to $ x$
$- 4 x \color{#FF6800}{ - } \color{#FF6800}{ 2 } = 3$
$ $ Move the constant to the right side and change the sign $ $
$- 4 x = 3 \color{#FF6800}{ + } \color{#FF6800}{ 2 }$
$- 4 x = \color{#FF6800}{ 3 } \color{#FF6800}{ + } \color{#FF6800}{ 2 }$
$ $ Add $ 3 $ and $ 2$
$- 4 x = \color{#FF6800}{ 5 }$
$\color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } = \color{#FF6800}{ 5 }$
$ $ Change the sign of both sides of the equation $ $
$4 x = - 5$
$\color{#FF6800}{ 4 } \color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ 5 }$
$ $ Divide both sides by the same number $ $
$\color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 5 } } { \color{#FF6800}{ 4 } } }$
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