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Formula
Solve the equation
Graph
$y = - 4 x + 5$
$y = x + 15$
$x$Intercept
$\left ( \dfrac { 5 } { 4 } , 0 \right )$
$y$Intercept
$\left ( 0 , 5 \right )$
$x$Intercept
$\left ( - 15 , 0 \right )$
$y$Intercept
$\left ( 0 , 15 \right )$
$-4x+5 = x+15$
$x = - 2$
 Solve a solution to $x$
$- 4 x + 5 = \color{#FF6800}{ x } + 15$
 Move the variable to the left-hand side and change the symbol 
$- 4 x + 5 \color{#FF6800}{ - } \color{#FF6800}{ x } = 15$
$- 4 x \color{#FF6800}{ + } \color{#FF6800}{ 5 } - x = 15$
 Move the constant to the right side and change the sign 
$- 4 x - x = 15 \color{#FF6800}{ - } \color{#FF6800}{ 5 }$
$\color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ x } = 15 - 5$
 Organize the expression 
$\color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ x } = 15 - 5$
$- 5 x = \color{#FF6800}{ 15 } \color{#FF6800}{ - } \color{#FF6800}{ 5 }$
 Subtract $5$ from $15$
$- 5 x = \color{#FF6800}{ 10 }$
$\color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ x } = \color{#FF6800}{ 10 }$
 Change the sign of both sides of the equation 
$5 x = - 10$
$\color{#FF6800}{ 5 } \color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ 10 }$
 Divide both sides by the same number 
$\color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ 2 }$
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