   Symbol

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Formula
Solve the equation
Answer   Graph
$y = 6 \left ( x + 1 \right )$
$y = 2 x + 10$
$x$Intercept
$\left ( - 1 , 0 \right )$
$y$Intercept
$\left ( 0 , 6 \right )$
$x$Intercept
$\left ( - 5 , 0 \right )$
$y$Intercept
$\left ( 0 , 10 \right )$
$6 \left( x+1 \right) = 2x+10$
$x = 1$
 Solve a solution to $x$
$\color{#FF6800}{ 6 } \left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right ) = 2 x + 10$
 Multiply each term in parentheses by $6$
$\color{#FF6800}{ 6 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 6 } = 2 x + 10$
$6 x + 6 = \color{#FF6800}{ 2 } \color{#FF6800}{ x } + 10$
 Move the variable to the left-hand side and change the symbol 
$6 x + 6 \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } = 10$
$\color{#FF6800}{ 6 } x \color{#FF6800}{ + } \color{#FF6800}{ 6 } - 2 x = 10$
 Move the constant to the right side and change the sign 
$6 x - 2 x = 10 \color{#FF6800}{ - } \color{#FF6800}{ 6 }$
$\color{#FF6800}{ 6 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } = 10 - 6$
 Organize the expression 
$\color{#FF6800}{ 4 } \color{#FF6800}{ x } = 10 - 6$
$4 x = \color{#FF6800}{ 10 } \color{#FF6800}{ - } \color{#FF6800}{ 6 }$
 Subtract $6$ from $10$
$4 x = \color{#FF6800}{ 4 }$
$\color{#FF6800}{ 4 } \color{#FF6800}{ x } = \color{#FF6800}{ 4 }$
 Divide both sides by the same number 
$\color{#FF6800}{ x } = \color{#FF6800}{ 1 }$
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