   Symbol

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Formula
Solve the equation
Answer    Graph
$y = - 5 x$
$y = x + 12$
$x$Intercept
$\left ( 0 , 0 \right )$
$y$Intercept
$\left ( 0 , 0 \right )$
$x$Intercept
$\left ( - 12 , 0 \right )$
$y$Intercept
$\left ( 0 , 12 \right )$
$-5x = x+12$
$x = - 2$
 Solve a solution to $x$
$- 5 x = \color{#FF6800}{ x } + 12$
 Move the variable to the left-hand side and change the symbol 
$- 5 x - x = 12$
$\color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ x } = 12$
 Organize the expression 
$\color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ x } = 12$
$\color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ x } = \color{#FF6800}{ 12 }$
 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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