Answer:
[tex]\textbf{A. x=9 and x=-21}[/tex]
Step-by-step explanation:
[tex]|x+ 6| - 7 = 8[/tex]
[tex]|x-6|=15[/tex]
[tex]\left \{ {{x+6=15} \atop {x+6=-15}} \right.[/tex]
[tex]x-6=15[/tex]
Subtract 6 from both sides:
[tex]\longmapsto[/tex] [tex]x+6-6=15-6[/tex]
[tex]\longmapsto[/tex] [tex]x=9[/tex]
[tex]x+6=-15[/tex]
Subtract 6 from both sides:
[tex]\longmapsto[/tex] [tex]x+6-6=-15-6[/tex]
[tex]\longmapsto[/tex] [tex]x=-21[/tex]
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[tex]\textbf{OAmalOHopeO}[/tex]
