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Formula
Solve the equation
Graph
$y = 6 + x$
$y = 3 x$
$x$Intercept
$\left ( - 6 , 0 \right )$
$y$Intercept
$\left ( 0 , 6 \right )$
$x$Intercept
$\left ( 0 , 0 \right )$
$y$Intercept
$\left ( 0 , 0 \right )$
$6+x = 3x$
$x = 3$
 Solve a solution to $x$
$\color{#FF6800}{ 6 } \color{#FF6800}{ + } \color{#FF6800}{ x } = 3 x$
 Organize the expression 
$\color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 6 } = 3 x$
$x + 6 = \color{#FF6800}{ 3 } \color{#FF6800}{ x }$
 Move the variable to the left-hand side and change the symbol 
$x + 6 \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } = 0$
$x \color{#FF6800}{ + } \color{#FF6800}{ 6 } - 3 x = 0$
 Move the constant to the right side and change the sign 
$x - 3 x = \color{#FF6800}{ - } \color{#FF6800}{ 6 }$
$\color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } = - 6$
 Organize the expression 
$\color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } = - 6$
$\color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ 6 }$
 Change the sign of both sides of the equation 
$2 x = 6$
$\color{#FF6800}{ 2 } \color{#FF6800}{ x } = \color{#FF6800}{ 6 }$
 Divide both sides by the same number 
$\color{#FF6800}{ x } = \color{#FF6800}{ 3 }$
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