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Formula
Solve the equation
Graph
$y = 0.2 x - 0.8$
$y = 0.2 - 0.3 x$
$x$Intercept
$\left ( 4 , 0 \right )$
$y$Intercept
$\left ( 0 , - \dfrac { 4 } { 5 } \right )$
$x$Intercept
$\left ( \dfrac { 2 } { 3 } , 0 \right )$
$y$Intercept
$\left ( 0 , \dfrac { 1 } { 5 } \right )$
$0.2x-0.8 = 0.2-0.3x$
$x = 2$
 Solve a solution to $x$
$\color{#FF6800}{ 0.2 } \color{#FF6800}{ x } - 0.8 = 0.2 - 0.3 x$
 Calculate the multiplication expression 
$\color{#FF6800}{ \dfrac { x } { 5 } } - 0.8 = 0.2 - 0.3 x$
$\dfrac { x } { 5 } \color{#FF6800}{ - } \color{#FF6800}{ 0.8 } = 0.2 - 0.3 x$
 Convert decimals to fractions 
$\dfrac { x } { 5 } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 4 } { 5 } } = 0.2 - 0.3 x$
$\dfrac { x } { 5 } - \dfrac { 4 } { 5 } = \color{#FF6800}{ 0.2 } - 0.3 x$
 Convert decimals to fractions 
$\dfrac { x } { 5 } - \dfrac { 4 } { 5 } = \color{#FF6800}{ \dfrac { 1 } { 5 } } - 0.3 x$
$\dfrac { x } { 5 } - \dfrac { 4 } { 5 } = \dfrac { 1 } { 5 } \color{#FF6800}{ - } \color{#FF6800}{ 0.3 } \color{#FF6800}{ x }$
 Calculate the multiplication expression 
$\dfrac { x } { 5 } - \dfrac { 4 } { 5 } = \dfrac { 1 } { 5 } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 3 x } { 10 } }$
$\color{#FF6800}{ \dfrac { x } { 5 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 4 } { 5 } } = \color{#FF6800}{ \dfrac { 1 } { 5 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 3 x } { 10 } }$
 Multiply both sides by the least common multiple for the denominators to eliminate the fraction 
$\color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 8 } = \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 2 }$
$\color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 8 } = \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 2 }$
 Organize the expression 
$\color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ x } = \color{#FF6800}{ 2 } \color{#FF6800}{ + } \color{#FF6800}{ 8 }$
$\color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ x } = 2 + 8$
 Organize the expression 
$\color{#FF6800}{ 5 } \color{#FF6800}{ x } = 2 + 8$
$5 x = \color{#FF6800}{ 2 } \color{#FF6800}{ + } \color{#FF6800}{ 8 }$
 Add $2$ and $8$
$5 x = \color{#FF6800}{ 10 }$
$\color{#FF6800}{ 5 } \color{#FF6800}{ x } = \color{#FF6800}{ 10 }$
 Divide both sides by the same number 
$\color{#FF6800}{ x } = \color{#FF6800}{ 2 }$
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