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Formula
Solve the equation
Graph
$y = 4 \left ( x - 2 \right ) - 5 \left ( 2 x - 6 \right )$
$y = 8 \left ( x + 1 \right ) - 3 \left ( 2 x + 3 \right )$
$x$Intercept
$\left ( \dfrac { 11 } { 3 } , 0 \right )$
$y$Intercept
$\left ( 0 , 22 \right )$
$x$Intercept
$\left ( \dfrac { 1 } { 2 } , 0 \right )$
$y$Intercept
$\left ( 0 , - 1 \right )$
$4 \left( x-2 \right) -5 \left( 2x-6 \right) = 8 \left( x+1 \right) -3 \left( 2x+3 \right)$
$x = \dfrac { 23 } { 8 }$
 Solve a solution to $x$
$\color{#FF6800}{ 4 } \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right ) \color{#FF6800}{ - } \color{#FF6800}{ 5 } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 6 } \right ) = \color{#FF6800}{ 8 } \left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right ) \color{#FF6800}{ - } \color{#FF6800}{ 3 } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \right )$
 Organize the expression 
$\color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ 1 } \color{#FF6800}{ - } \color{#FF6800}{ 22 }$
$\color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } = - 1 - 22$
 Organize the expression 
$\color{#FF6800}{ - } \color{#FF6800}{ 8 } \color{#FF6800}{ x } = - 1 - 22$
$\color{#FF6800}{ - } \color{#FF6800}{ 8 } \color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ 1 } \color{#FF6800}{ - } \color{#FF6800}{ 22 }$
 Organize the expression 
$\color{#FF6800}{ 8 } \color{#FF6800}{ x } = \color{#FF6800}{ 23 }$
$\color{#FF6800}{ 8 } \color{#FF6800}{ x } = \color{#FF6800}{ 23 }$
 Divide both sides by the same number 
$\color{#FF6800}{ x } = \color{#FF6800}{ \dfrac { 23 } { 8 } }$
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