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$5 x + 4 = \color{#FF6800}{ 2 } \color{#FF6800}{ x } - 5$

$ $ Move the variable to the left-hand side and change the symbol $ $

$5 x + 4 \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } = - 5$

$5 x \color{#FF6800}{ + } \color{#FF6800}{ 4 } - 2 x = - 5$

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

$5 x - 2 x = - 5 \color{#FF6800}{ - } \color{#FF6800}{ 4 }$

$\color{#FF6800}{ 5 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } = - 5 - 4$

$ $ Organize the expression $ $

$\color{#FF6800}{ 3 } \color{#FF6800}{ x } = - 5 - 4$

$3 x = \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ - } \color{#FF6800}{ 4 }$

$ $ Find the sum of the negative numbers $ $

$3 x = \color{#FF6800}{ - } \color{#FF6800}{ 9 }$

$\color{#FF6800}{ 3 } \color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ 9 }$

$ $ Divide both sides by the same number $ $

$\color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ 3 }$