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Solve the equation
Answer
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Graph
$y = 3 \left ( x - 5 \right )$
$y = 5 \left ( 3 - x \right )$
$x$Intercept
$\left ( 5 , 0 \right )$
$y$Intercept
$\left ( 0 , - 15 \right )$
$x$Intercept
$\left ( 3 , 0 \right )$
$y$Intercept
$\left ( 0 , 15 \right )$
$x = \dfrac { 15 } { 4 }$
$ $ Solve a solution to $ x$
$\color{#FF6800}{ 3 } \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \right ) = \color{#FF6800}{ 5 } \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ x } \right )$
$ $ Organize the expression $ $
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 15 } = \color{#FF6800}{ 15 } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ x }$
$3 x - 15 = \color{#FF6800}{ 15 } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ x }$
$ $ Organize the expression $ $
$3 x - 15 = \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 15 }$
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 15 } = \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 15 }$
$ $ Organize the expression $ $
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 5 } \color{#FF6800}{ x } = \color{#FF6800}{ 15 } \color{#FF6800}{ + } \color{#FF6800}{ 15 }$
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 5 } \color{#FF6800}{ x } = 15 + 15$
$ $ Organize the expression $ $
$\color{#FF6800}{ 8 } \color{#FF6800}{ x } = 15 + 15$
$8 x = \color{#FF6800}{ 15 } \color{#FF6800}{ + } \color{#FF6800}{ 15 }$
$ $ Add $ 15 $ and $ 15$
$8 x = \color{#FF6800}{ 30 }$
$\color{#FF6800}{ 8 } \color{#FF6800}{ x } = \color{#FF6800}{ 30 }$
$ $ Divide both sides by the same number $ $
$\color{#FF6800}{ x } = \color{#FF6800}{ \dfrac { \color{#FF6800}{ 15 } } { \color{#FF6800}{ 4 } } }$
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