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Formula
Solve the equation
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$y = 8 x - 4 + 3 x$
$y = 7 x + x + 14$
$x$Intercept
$\left ( \dfrac { 4 } { 11 } , 0 \right )$
$y$Intercept
$\left ( 0 , - 4 \right )$
$x$Intercept
$\left ( - \dfrac { 7 } { 4 } , 0 \right )$
$y$Intercept
$\left ( 0 , 14 \right )$
$8x-4+3x = 7x+x+14$
$x = 6$
 Solve a solution to $x$
$\color{#FF6800}{ 8 } \color{#FF6800}{ x } - 4 \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ x } = 7 x + x + 14$
 Calculate between similar terms 
$\color{#FF6800}{ 11 } \color{#FF6800}{ x } - 4 = 7 x + x + 14$
$11 x - 4 = \color{#FF6800}{ 7 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ x } + 14$
 Calculate between similar terms 
$11 x - 4 = \color{#FF6800}{ 8 } \color{#FF6800}{ x } + 14$
$11 x - 4 = \color{#FF6800}{ 8 } \color{#FF6800}{ x } + 14$
 Move the variable to the left-hand side and change the symbol 
$11 x - 4 \color{#FF6800}{ - } \color{#FF6800}{ 8 } \color{#FF6800}{ x } = 14$
$11 x \color{#FF6800}{ - } \color{#FF6800}{ 4 } - 8 x = 14$
 Move the constant to the right side and change the sign 
$11 x - 8 x = 14 \color{#FF6800}{ + } \color{#FF6800}{ 4 }$
$\color{#FF6800}{ 11 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 8 } \color{#FF6800}{ x } = 14 + 4$
 Organize the expression 
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } = 14 + 4$
$3 x = \color{#FF6800}{ 14 } \color{#FF6800}{ + } \color{#FF6800}{ 4 }$
 Add $14$ and $4$
$3 x = \color{#FF6800}{ 18 }$
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } = \color{#FF6800}{ 18 }$
 Divide both sides by the same number 
$\color{#FF6800}{ x } = \color{#FF6800}{ 6 }$
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