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Formula
Solve the inequality
Graph
$- 8 - x > 2 - 4 x$
$- 8 - x > 2 - 4 x$
Solution of inequality
$x > \dfrac { 10 } { 3 }$
$-8-x > 2-4x$
$x > \dfrac { 10 } { 3 }$
 Solve a solution to $x$
$\color{#FF6800}{ - } \color{#FF6800}{ 8 } \color{#FF6800}{ - } \color{#FF6800}{ x } > 2 - 4 x$
 Organize the expression 
$\color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 8 } > 2 - 4 x$
$- x - 8 > \color{#FF6800}{ 2 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x }$
 Organize the expression 
$- x - 8 > \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 2 }$
$- x - 8 > \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } + 2$
 Move the variable to the left-hand side and change the symbol 
$- x - 8 \color{#FF6800}{ + } \color{#FF6800}{ 4 } \color{#FF6800}{ x } > 2$
$- x \color{#FF6800}{ - } \color{#FF6800}{ 8 } + 4 x > 2$
 Move the constant to the right side and change the sign 
$- x + 4 x > 2 \color{#FF6800}{ + } \color{#FF6800}{ 8 }$
$\color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \color{#FF6800}{ x } > 2 + 8$
 Organize the expression 
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } > 2 + 8$
$3 x > \color{#FF6800}{ 2 } \color{#FF6800}{ + } \color{#FF6800}{ 8 }$
 Add $2$ and $8$
$3 x > \color{#FF6800}{ 10 }$
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } > \color{#FF6800}{ 10 }$
 Divide both sides by the same number 
$\color{#FF6800}{ x } > \color{#FF6800}{ \dfrac { 10 } { 3 } }$
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