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$\color{#FF6800}{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ x } < 2$

$ $ Organize the expression $ $

$\color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 3 } < 2$

$- x \color{#FF6800}{ + } \color{#FF6800}{ 3 } < 2$

$ $ Move the constant to the right side and change the sign $ $

$- x < 2 \color{#FF6800}{ - } \color{#FF6800}{ 3 }$

$- x < \color{#FF6800}{ 2 } \color{#FF6800}{ - } \color{#FF6800}{ 3 }$

$ $ Subtract $ 3 $ from $ 2$

$- x < \color{#FF6800}{ - } \color{#FF6800}{ 1 }$

$\color{#FF6800}{ - } \color{#FF6800}{ x } < \color{#FF6800}{ - } \color{#FF6800}{ 1 }$

$ $ Change the symbol of the inequality of both sides, and reverse the symbol of the inequality to the opposite direction $ $

$\color{#FF6800}{ x } > \color{#FF6800}{ - } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right )$

$x > \color{#FF6800}{ - } \left ( \color{#FF6800}{ - } 1 \right )$

$ $ Simplify Minus $ $

$x > 1$