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Formula
Solve the equation
Graph
$y = 2 - 6 x$
$y = 14$
$x$Intercept
$\left ( \dfrac { 1 } { 3 } , 0 \right )$
$y$Intercept
$\left ( 0 , 2 \right )$
$2-6x = 14$
$x = - 2$
 Solve a solution to $x$
$\color{#FF6800}{ 2 } \color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ x } = 14$
 Organize the expression 
$\color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 2 } = 14$
$- 6 x \color{#FF6800}{ + } \color{#FF6800}{ 2 } = 14$
 Move the constant to the right side and change the sign 
$- 6 x = 14 \color{#FF6800}{ - } \color{#FF6800}{ 2 }$
$- 6 x = \color{#FF6800}{ 14 } \color{#FF6800}{ - } \color{#FF6800}{ 2 }$
 Subtract $2$ from $14$
$- 6 x = \color{#FF6800}{ 12 }$
$\color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ x } = \color{#FF6800}{ 12 }$
 Change the sign of both sides of the equation 
$6 x = - 12$
$\color{#FF6800}{ 6 } \color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ 12 }$
 Divide both sides by the same number 
$\color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ 2 }$
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