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Formula
Expand the expression
$5x- \{ 2y-x+ \left( 3x-4y \right) \}$
$3 x + 2 y$
Organize polynomials
$5 x - \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ + } \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ y } \right ) \right )$
 Get rid of unnecessary parentheses 
$5 x - \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ y } \right )$
$5 x - \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ y } \right )$
 Organize the similar terms 
$5 x - \left ( \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \right ) \color{#FF6800}{ y } \color{#FF6800}{ + } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \right ) \color{#FF6800}{ x } \right )$
$5 x - \left ( \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \right ) \color{#FF6800}{ y } + \left ( - 1 + 3 \right ) x \right )$
 Arrange the constant term 
$5 x - \left ( \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ y } + \left ( - 1 + 3 \right ) x \right )$
$5 x - \left ( - 2 y + \left ( \color{#FF6800}{ - } \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \right ) \color{#FF6800}{ x } \right )$
 Arrange the constant term 
$5 x - \left ( - 2 y + \color{#FF6800}{ 2 } \color{#FF6800}{ x } \right )$
$5 x - \left ( \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ x } \right )$
 Sort the polynomial expressions in descending order 
$5 x - \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ y } \right )$
$5 x \color{#FF6800}{ - } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ y } \right )$
 Change the symbol of each term in parentheses when there is a (-) symbol in front of parentheses 
$5 x \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } + \color{#FF6800}{ 2 } \color{#FF6800}{ y }$
$\color{#FF6800}{ 5 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ y }$
 Organize the similar terms 
$\left ( \color{#FF6800}{ 5 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right ) \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ y }$
$\left ( \color{#FF6800}{ 5 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right ) \color{#FF6800}{ x } + 2 y$
 Arrange the constant term 
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } + 2 y$
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