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Solve the equation
Answer
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Graph
$y = \left ( 5 - 3 x \right ) - \left ( - 4 x + 6 \right )$
$y = \left ( 8 x + 11 \right ) - \left ( 3 x - 6 \right )$
$x$Intercept
$\left ( 1 , 0 \right )$
$y$Intercept
$\left ( 0 , - 1 \right )$
$x$Intercept
$\left ( - \dfrac { 17 } { 5 } , 0 \right )$
$y$Intercept
$\left ( 0 , 17 \right )$
$\left( 5-3x \right) - \left( -4x+6 \right) = \left( 8x+11 \right) - \left( 3x-6 \right)$
$x = - \dfrac { 9 } { 2 }$
$ $ Solve a solution to $ x$
$\left ( \color{#FF6800}{ 5 } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } \right ) \color{#FF6800}{ - } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \right ) = \left ( \color{#FF6800}{ 8 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 11 } \right ) \color{#FF6800}{ - } \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 6 } \right )$
$ $ Organize the expression $ $
$\color{#FF6800}{ - } \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ x } = \color{#FF6800}{ 5 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 17 }$
$\color{#FF6800}{ - } \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ x } = 5 x + 17$
$ $ Organize the expression $ $
$\color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 1 } = 5 x + 17$
$\color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 1 } = \color{#FF6800}{ 5 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 17 }$
$ $ Organize the expression $ $
$\color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ x } = \color{#FF6800}{ 17 } \color{#FF6800}{ + } \color{#FF6800}{ 1 }$
$\color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ x } = 17 + 1$
$ $ Organize the expression $ $
$\color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } = 17 + 1$
$\color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } = \color{#FF6800}{ 17 } \color{#FF6800}{ + } \color{#FF6800}{ 1 }$
$ $ Organize the expression $ $
$\color{#FF6800}{ 4 } \color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ 18 }$
$\color{#FF6800}{ 4 } \color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ 18 }$
$ $ Divide both sides by the same number $ $
$\color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 9 } { 2 } }$
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