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Formula
Solve the equation
Graph
$y = 21 x - 3$
$y = 3 x + 6$
$x$-intercept
$\left ( \dfrac { 1 } { 7 } , 0 \right )$
$y$-intercept
$\left ( 0 , - 3 \right )$
$x$-intercept
$\left ( - 2 , 0 \right )$
$y$-intercept
$\left ( 0 , 6 \right )$
$21x-3 = 3x+6$
$x = \dfrac { 1 } { 2 }$
 Solve a solution to $x$
$21 x - 3 = \color{#FF6800}{ 3 } \color{#FF6800}{ x } + 6$
 Move the variable to the left-hand side and change the symbol 
$21 x - 3 \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } = 6$
$21 x \color{#FF6800}{ - } \color{#FF6800}{ 3 } - 3 x = 6$
 Move the constant to the right side and change the sign 
$21 x - 3 x = 6 \color{#FF6800}{ + } \color{#FF6800}{ 3 }$
$\color{#FF6800}{ 21 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } = 6 + 3$
 Organize the expression 
$\color{#FF6800}{ 18 } \color{#FF6800}{ x } = 6 + 3$
$18 x = \color{#FF6800}{ 6 } \color{#FF6800}{ + } \color{#FF6800}{ 3 }$
 Add $6$ and $3$
$18 x = \color{#FF6800}{ 9 }$
$\color{#FF6800}{ 18 } \color{#FF6800}{ x } = \color{#FF6800}{ 9 }$
 Divide both sides by the same number 
$\color{#FF6800}{ x } = \color{#FF6800}{ \dfrac { 1 } { 2 } }$
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