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Formula
Solve the equation
Graph
$y = 5 x + 6$
$y = 8 x - 18$
$x$Intercept
$\left ( - \dfrac { 6 } { 5 } , 0 \right )$
$y$Intercept
$\left ( 0 , 6 \right )$
$x$Intercept
$\left ( \dfrac { 9 } { 4 } , 0 \right )$
$y$Intercept
$\left ( 0 , - 18 \right )$
$5x+6 = 8x-18$
$x = 8$
 Solve a solution to $x$
$5 x + 6 = \color{#FF6800}{ 8 } \color{#FF6800}{ x } - 18$
 Move the variable to the left-hand side and change the symbol 
$5 x + 6 \color{#FF6800}{ - } \color{#FF6800}{ 8 } \color{#FF6800}{ x } = - 18$
$5 x \color{#FF6800}{ + } \color{#FF6800}{ 6 } - 8 x = - 18$
 Move the constant to the right side and change the sign 
$5 x - 8 x = - 18 \color{#FF6800}{ - } \color{#FF6800}{ 6 }$
$\color{#FF6800}{ 5 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 8 } \color{#FF6800}{ x } = - 18 - 6$
 Organize the expression 
$\color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } = - 18 - 6$
$- 3 x = \color{#FF6800}{ - } \color{#FF6800}{ 18 } \color{#FF6800}{ - } \color{#FF6800}{ 6 }$
 Find the sum of the negative numbers 
$- 3 x = \color{#FF6800}{ - } \color{#FF6800}{ 24 }$
$\color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ 24 }$
 Change the sign of both sides of the equation 
$3 x = 24$
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } = \color{#FF6800}{ 24 }$
 Divide both sides by the same number 
$\color{#FF6800}{ x } = \color{#FF6800}{ 8 }$
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