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Formula
Solve the equation
Graph
$y = 3 x - x$
$y = 4 x + 1$
$x$-intercept
$\left ( 0 , 0 \right )$
$y$-intercept
$\left ( 0 , 0 \right )$
$x$-intercept
$\left ( - \dfrac { 1 } { 4 } , 0 \right )$
$y$-intercept
$\left ( 0 , 1 \right )$
$3x-x = 4x+1$
$x = - \dfrac { 1 } { 2 }$
 Solve a solution to $x$
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ x } = 4 x + 1$
 Calculate between similar terms 
$\color{#FF6800}{ 2 } \color{#FF6800}{ x } = 4 x + 1$
$2 x = \color{#FF6800}{ 4 } \color{#FF6800}{ x } + 1$
 Move the variable to the left-hand side and change the symbol 
$2 x - 4 x = 1$
$\color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } = 1$
 Organize the expression 
$\color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } = 1$
$\color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } = \color{#FF6800}{ 1 }$
 Change the sign of both sides of the equation 
$2 x = - 1$
$\color{#FF6800}{ 2 } \color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ 1 }$
 Divide both sides by the same number 
$\color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 1 } { 2 } }$
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