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Formula
Solve the equation
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$y = 13 - \dfrac { x } { 4 }$
$y = 6$
$x$-intercept
$\left ( 52 , 0 \right )$
$y$-intercept
$\left ( 0 , 13 \right )$
$13- \dfrac{ x }{ 4 } = 6$
$x = 28$
 Solve a solution to $x$
$\color{#FF6800}{ 13 } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { x } { 4 } } = \color{#FF6800}{ 6 }$
 Multiply both sides by the least common multiple for the denominators to eliminate the fraction 
$\color{#FF6800}{ 52 } \color{#FF6800}{ - } \color{#FF6800}{ x } = \color{#FF6800}{ 24 }$
$\color{#FF6800}{ 52 } - x = 24$
 Move the constant to the right side and change the sign 
$- x = 24 \color{#FF6800}{ - } \color{#FF6800}{ 52 }$
$- x = \color{#FF6800}{ 24 } \color{#FF6800}{ - } \color{#FF6800}{ 52 }$
 Subtract $52$ from $24$
$- x = \color{#FF6800}{ - } \color{#FF6800}{ 28 }$
$\color{#FF6800}{ - } \color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ 28 }$
 Change the sign of both sides of the equation 
$\color{#FF6800}{ x } = \color{#FF6800}{ - } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 28 } \right )$
$x = \color{#FF6800}{ - } \left ( \color{#FF6800}{ - } 28 \right )$
 Simplify Minus 
$x = 28$
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