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Formula
Solve the equation
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$y = \dfrac { 3 } { 10 } x - \dfrac { 2 } { 15 }$
$y = - \dfrac { 4 } { 5 }$
$x$Intercept
$\left ( \dfrac { 4 } { 9 } , 0 \right )$
$y$Intercept
$\left ( 0 , - \dfrac { 2 } { 15 } \right )$
$\dfrac{ 3 }{ 10 } x- \dfrac{ 2 }{ 15 } = - \dfrac{ 4 }{ 5 }$
$x = - \dfrac { 20 } { 9 }$
 Solve a solution to $x$
$\color{#FF6800}{ \dfrac { 3 } { 10 } } \color{#FF6800}{ x } - \dfrac { 2 } { 15 } = - \dfrac { 4 } { 5 }$
 Calculate the multiplication expression 
$\color{#FF6800}{ \dfrac { 3 x } { 10 } } - \dfrac { 2 } { 15 } = - \dfrac { 4 } { 5 }$
$\color{#FF6800}{ \dfrac { 3 x } { 10 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 2 } { 15 } } = \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 4 } { 5 } }$
 Multiply both sides by the least common multiple for the denominators to eliminate the fraction 
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 4 } { 3 } } = \color{#FF6800}{ - } \color{#FF6800}{ 8 }$
$3 x \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 4 } { 3 } } = - 8$
 Move the constant to the right side and change the sign 
$3 x = - 8 \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 4 } { 3 } }$
$3 x = \color{#FF6800}{ - } \color{#FF6800}{ 8 } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 4 } { 3 } }$
 Get the subtract 
$3 x = \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 20 } { 3 } }$
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 20 } { 3 } }$
 Divide both sides by the same number 
$\color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 20 } { 9 } }$
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