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Solve the equation
Answer
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Graph
$y = x + 3 \left ( x - 1 \right )$
$y = 6 - 4 \left ( 2 x + 3 \right )$
$x$Intercept
$\left ( \dfrac { 3 } { 4 } , 0 \right )$
$y$Intercept
$\left ( 0 , - 3 \right )$
$x$Intercept
$\left ( - \dfrac { 3 } { 4 } , 0 \right )$
$y$Intercept
$\left ( 0 , - 6 \right )$
$x+3 \left( x-1 \right) = 6-4 \left( 2x+3 \right)$
$x = - \dfrac { 1 } { 4 }$
$ $ Solve a solution to $ x$
$\color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right ) = \color{#FF6800}{ 6 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \right )$
$ $ Organize the expression $ $
$\color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 3 } = \color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ - } \color{#FF6800}{ 8 } \color{#FF6800}{ x }$
$4 x - 3 = \color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ - } \color{#FF6800}{ 8 } \color{#FF6800}{ x }$
$ $ Organize the expression $ $
$4 x - 3 = \color{#FF6800}{ - } \color{#FF6800}{ 8 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 6 }$
$\color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 3 } = \color{#FF6800}{ - } \color{#FF6800}{ 8 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 6 }$
$ $ Organize the expression $ $
$\color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 8 } \color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ + } \color{#FF6800}{ 3 }$
$\color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 8 } \color{#FF6800}{ x } = - 6 + 3$
$ $ Organize the expression $ $
$\color{#FF6800}{ 12 } \color{#FF6800}{ x } = - 6 + 3$
$12 x = \color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ + } \color{#FF6800}{ 3 }$
$ $ Add $ - 6 $ and $ 3$
$12 x = \color{#FF6800}{ - } \color{#FF6800}{ 3 }$
$\color{#FF6800}{ 12 } \color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ 3 }$
$ $ Divide both sides by the same number $ $
$\color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 1 } { 4 } }$
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