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Formula
Solve the equation
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$y = 5 x + 4$
$y = 2 x - 5$
$x$-intercept
$\left ( - \dfrac { 4 } { 5 } , 0 \right )$
$y$-intercept
$\left ( 0 , 4 \right )$
$x$-intercept
$\left ( \dfrac { 5 } { 2 } , 0 \right )$
$y$-intercept
$\left ( 0 , - 5 \right )$
$5x+4 = 2x-5$
$x = - 3$
 Solve a solution to $x$
$5 x + 4 = \color{#FF6800}{ 2 } \color{#FF6800}{ x } - 5$
 Move the variable to the left-hand side and change the symbol 
$5 x + 4 \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } = - 5$
$5 x \color{#FF6800}{ + } \color{#FF6800}{ 4 } - 2 x = - 5$
 Move the constant to the right side and change the sign 
$5 x - 2 x = - 5 \color{#FF6800}{ - } \color{#FF6800}{ 4 }$
$\color{#FF6800}{ 5 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } = - 5 - 4$
 Organize the expression 
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } = - 5 - 4$
$3 x = \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ - } \color{#FF6800}{ 4 }$
 Find the sum of the negative numbers 
$3 x = \color{#FF6800}{ - } \color{#FF6800}{ 9 }$
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ 9 }$
 Divide both sides by the same number 
$\color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ 3 }$
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