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Solve the equation
Graph
$y = - \dfrac { 3 } { 2 } x$
$y = 2$
$x$Intercept
$\left ( 0 , 0 \right )$
$y$Intercept
$\left ( 0 , 0 \right )$
$- \dfrac{ 3 }{ 2 } x = 2$
$x = - \dfrac { 4 } { 3 }$
 Solve a solution to $x$
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 3 } { 2 } } \color{#FF6800}{ x } = 2$
 Calculate the multiplication expression 
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 3 x } { 2 } } = 2$
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 3 x } { 2 } } = \color{#FF6800}{ 2 }$
 Multiply both sides by the least common multiple for the denominators to eliminate the fraction 
$\color{#FF6800}{ - } \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ x } \right ) = \color{#FF6800}{ 4 }$
$\color{#FF6800}{ - } \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ x } \right ) = 4$
 Get rid of unnecessary parentheses 
$\color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } = 4$
$\color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } = \color{#FF6800}{ 4 }$
 Change the sign of both sides of the equation 
$3 x = - 4$
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ 4 }$
 Divide both sides by the same number 
$\color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 4 } { 3 } }$
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