Amaddox3925idn
Answered

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what is the salon to the equation? 15 = |x| - 5
A. x = -3 or 3
B. x = -20 or 20
C. x = -5 or 5
D. x = -10 or 10​

Sagot :

Syahbanazackiidn

Step-by-step explanation:

15 = |x| - 5

|x| - 5 = 15

|x| = 15 + 5

|x| = 20

x = ±20

x = -20 or 20

Option → B

Amphitrite1040idn

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\boxed{\mathsf{15 = |x| - 5}}\\\large\boxed{\mathsf{|x| - 5 = 15}}\\\large\boxed{\textbf{ADD 5 to BOTH SIDES}}\\\large\boxed{\mathsf{\rightarrow |x| - 5 + 5 = 15 + 5}}\\\large\boxed{\textbf{CANCEL out: -5 + 5 because it gives you 0}}\\\large\boxed{\textbf{KEEP: 15 + 5 because it help solve for the x-value}}\\\large\boxed{\textbf{NEW EQUATION: }\mathbf{|x| = 15 + 5}}\\\large\boxed{\textbf{SIMPLIFY IT!}}\\\large\textbf{Possibility \#1: x = 20}\\\large\textbf{or even Possibility \#2: x = -20}[/tex]

[tex]\huge\textbf{Therefore, your answer is: }\\\boxed{\mathsf{x = 20\ or\ x = -20}}\\\huge\boxed{\textbf{(Option B.)}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

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