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Formula
Solve the equation
Graph
$y = 2 \left ( 4 - 6 x \right )$
$y = - 16$
$x$-intercept
$\left ( \dfrac { 2 } { 3 } , 0 \right )$
$y$-intercept
$\left ( 0 , 8 \right )$
$2 \left( 4-6x \right) = -16$
$x = 2$
 Solve a solution to $x$
$\color{#FF6800}{ 2 } \left ( \color{#FF6800}{ 4 } \color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ x } \right ) = - 16$
 Multiply each term in parentheses by $2$
$\color{#FF6800}{ 2 } \color{#FF6800}{ \times } \color{#FF6800}{ 4 } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ \times } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 6 } \right ) \color{#FF6800}{ x } = - 16$
$\color{#FF6800}{ 2 } \color{#FF6800}{ \times } \color{#FF6800}{ 4 } + 2 \times \left ( - 6 \right ) x = - 16$
 Multiply $2$ and $4$
$\color{#FF6800}{ 8 } + 2 \times \left ( - 6 \right ) x = - 16$
$8 + \color{#FF6800}{ 2 } \color{#FF6800}{ \times } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 6 } \right ) \color{#FF6800}{ x } = - 16$
 Simplify the expression 
$8 \color{#FF6800}{ - } \color{#FF6800}{ 12 } \color{#FF6800}{ x } = - 16$
$\color{#FF6800}{ 8 } \color{#FF6800}{ - } \color{#FF6800}{ 12 } \color{#FF6800}{ x } = - 16$
 Organize the expression 
$\color{#FF6800}{ - } \color{#FF6800}{ 12 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 8 } = - 16$
$- 12 x \color{#FF6800}{ + } \color{#FF6800}{ 8 } = - 16$
 Move the constant to the right side and change the sign 
$- 12 x = - 16 \color{#FF6800}{ - } \color{#FF6800}{ 8 }$
$- 12 x = \color{#FF6800}{ - } \color{#FF6800}{ 16 } \color{#FF6800}{ - } \color{#FF6800}{ 8 }$
 Find the sum of the negative numbers 
$- 12 x = \color{#FF6800}{ - } \color{#FF6800}{ 24 }$
$\color{#FF6800}{ - } \color{#FF6800}{ 12 } \color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ 24 }$
 Change the sign of both sides of the equation 
$12 x = 24$
$\color{#FF6800}{ 12 } \color{#FF6800}{ x } = \color{#FF6800}{ 24 }$
 Divide both sides by the same number 
$\color{#FF6800}{ x } = \color{#FF6800}{ 2 }$
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