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Solve the equation
Answer
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Graph
$y = \dfrac { 2 x - 1 } { 3 }$
$y = 5$
$x$Intercept
$\left ( \dfrac { 1 } { 2 } , 0 \right )$
$y$Intercept
$\left ( 0 , - \dfrac { 1 } { 3 } \right )$
$x = 8$
$ $ Solve a solution to $ x$
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 1 } } { \color{#FF6800}{ 3 } } } = \color{#FF6800}{ 5 }$
$ $ Multiply both sides by the least common multiple for the denominators to eliminate the fraction $ $
$\color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 1 } = \color{#FF6800}{ 15 }$
$2 x \color{#FF6800}{ - } \color{#FF6800}{ 1 } = 15$
$ $ Move the constant to the right side and change the sign $ $
$2 x = 15 \color{#FF6800}{ + } \color{#FF6800}{ 1 }$
$2 x = \color{#FF6800}{ 15 } \color{#FF6800}{ + } \color{#FF6800}{ 1 }$
$ $ Add $ 15 $ and $ 1$
$2 x = \color{#FF6800}{ 16 }$
$\color{#FF6800}{ 2 } \color{#FF6800}{ x } = \color{#FF6800}{ 16 }$
$ $ Divide both sides by the same number $ $
$\color{#FF6800}{ x } = \color{#FF6800}{ 8 }$
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