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Formula
Solve the equation
Graph
$y = \dfrac { x } { 5 } - \dfrac { x - 3 } { 2 }$
$y = 0.1$
$x$Intercept
$\left ( 5 , 0 \right )$
$y$Intercept
$\left ( 0 , \dfrac { 3 } { 2 } \right )$
$\dfrac{ x }{ 5 } - \dfrac{ x-3 }{ 2 } = 0.1$
$x = \dfrac { 14 } { 3 }$
 Solve a solution to $x$
$\dfrac { x } { 5 } - \dfrac { x - 3 } { 2 } = \color{#FF6800}{ 0.1 }$
 Convert decimals to fractions 
$\dfrac { x } { 5 } - \dfrac { x - 3 } { 2 } = \color{#FF6800}{ \dfrac { 1 } { 10 } }$
$\color{#FF6800}{ \dfrac { x } { 5 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { x - 3 } { 2 } } = \color{#FF6800}{ \dfrac { 1 } { 10 } }$
 Multiply both sides by the least common multiple for the denominators to eliminate the fraction 
$\color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ - } \left ( \color{#FF6800}{ 5 } \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \right ) \right ) = \color{#FF6800}{ 1 }$
$\color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ - } \left ( \color{#FF6800}{ 5 } \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \right ) \right ) = \color{#FF6800}{ 1 }$
 Organize the expression 
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } = \color{#FF6800}{ 14 }$
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } = \color{#FF6800}{ 14 }$
 Divide both sides by the same number 
$\color{#FF6800}{ x } = \color{#FF6800}{ \dfrac { 14 } { 3 } }$
$x = \dfrac { 14 } { 3 }$
Solve the fractional equation
$\color{#FF6800}{ \dfrac { x } { 5 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { x - 3 } { 2 } } = \color{#FF6800}{ 0.1 }$
 Solve a solution to $x$
$\color{#FF6800}{ x } = \color{#FF6800}{ \dfrac { 14 } { 3 } }$
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