   Symbol

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Formula
Solve the equation
Answer    Graph
$y = 5 x$
$y = 8 x - 15$
$x$Intercept
$\left ( 0 , 0 \right )$
$y$Intercept
$\left ( 0 , 0 \right )$
$x$Intercept
$\left ( \dfrac { 15 } { 8 } , 0 \right )$
$y$Intercept
$\left ( 0 , - 15 \right )$
$5x = 8x-15$
$x = 5$
 Solve a solution to $x$
$5 x = \color{#FF6800}{ 8 } \color{#FF6800}{ x } - 15$
 Move the variable to the left-hand side and change the symbol 
$5 x - 8 x = - 15$
$\color{#FF6800}{ 5 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 8 } \color{#FF6800}{ x } = - 15$
 Organize the expression 
$\color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } = - 15$
$\color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ 15 }$
 Change the sign of both sides of the equation 
$3 x = 15$
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } = \color{#FF6800}{ 15 }$
 Divide both sides by the same number 
$\color{#FF6800}{ x } = \color{#FF6800}{ 5 }$
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