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Formula
Solve the equation
Answer
Graph
$y = - 3.2$
$y = - \dfrac { 4 } { 7 } x - 4$
$x$Intercept
$\left ( - 7 , 0 \right )$
$y$Intercept
$\left ( 0 , - 4 \right )$
$-3.2 = - \dfrac{ 4 }{ 7 } x-4$
$x = - \dfrac { 7 } { 5 }$
 Solve a solution to $x$
$\color{#FF6800}{ - } \color{#FF6800}{ 3.2 } = - \dfrac { 4 } { 7 } x - 4$
 Convert decimals to fractions 
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 16 } { 5 } } = - \dfrac { 4 } { 7 } x - 4$
$- \dfrac { 16 } { 5 } = \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 4 } { 7 } } \color{#FF6800}{ x } - 4$
 Calculate the multiplication expression 
$- \dfrac { 16 } { 5 } = \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 4 x } { 7 } } - 4$
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 16 } { 5 } } = \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 4 x } { 7 } } \color{#FF6800}{ - } \color{#FF6800}{ 4 }$
 Multiply both sides by the least common multiple for the denominators to eliminate the fraction 
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 112 } { 5 } } = \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 28 }$
$- \dfrac { 112 } { 5 } = \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } - 28$
 Move the variable to the left-hand side and change the symbol 
$- \dfrac { 112 } { 5 } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \color{#FF6800}{ x } = - 28$
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 112 } { 5 } } + 4 x = - 28$
 Move the constant to the right side and change the sign 
$4 x = - 28 \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 112 } { 5 } }$
$4 x = \color{#FF6800}{ - } \color{#FF6800}{ 28 } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 112 } { 5 } }$
 Get the subtract 
$4 x = \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 28 } { 5 } }$
$\color{#FF6800}{ 4 } \color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 28 } { 5 } }$
 Divide both sides by the same number 
$\color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 7 } { 5 } }$
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