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>> Answer

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[tex] \: [/tex]

[tex] \tt5 - 6x = 8x + 17[/tex]

[tex] \longmapsto \tt \: x = \frac{5 - 17}{ - 6 + 8} [/tex]

[tex] \longmapsto \tt \: x = \frac{ - 12}{8 - 6} [/tex]

[tex] \longmapsto \tt \: x = \frac{ - 12}{ 2} [/tex]

[tex] \longmapsto \tt \: x = \boxed{ \blue{ - 6}}[/tex]