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Formula
Solve the equation
Answer
Graph
$y = 3 x + 2$
$y = 5 x - 4$
$x$Intercept
$\left ( - \dfrac { 2 } { 3 } , 0 \right )$
$y$Intercept
$\left ( 0 , 2 \right )$
$x$Intercept
$\left ( \dfrac { 4 } { 5 } , 0 \right )$
$y$Intercept
$\left ( 0 , - 4 \right )$
$3x+2 = 5x-4$
$x = 3$
 Solve a solution to $x$
$3 x + 2 = \color{#FF6800}{ 5 } \color{#FF6800}{ x } - 4$
 Move the variable to the left-hand side and change the symbol 
$3 x + 2 \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ x } = - 4$
$3 x \color{#FF6800}{ + } \color{#FF6800}{ 2 } - 5 x = - 4$
 Move the constant to the right side and change the sign 
$3 x - 5 x = - 4 \color{#FF6800}{ - } \color{#FF6800}{ 2 }$
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ x } = - 4 - 2$
 Organize the expression 
$\color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } = - 4 - 2$
$- 2 x = \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ - } \color{#FF6800}{ 2 }$
 Find the sum of the negative numbers 
$- 2 x = \color{#FF6800}{ - } \color{#FF6800}{ 6 }$
$\color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ 6 }$
 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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10th-13th grade
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