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If 5|2x| = 60, then what are the values of x?​

Sagot :

i got x is equal to 6,-6
Nayefx

Answer:

[tex] \huge \boxed { \boxed{x = \{6 , - 6 \}}}[/tex]

Step-by-step explanation:

to understand this

you need to know about:

  • absolute value
  • equation
  • PEMDAS

tips and formulas:

  • |a|=±a

let's solve:

  1. [tex] \sf divide \: bothe \: sides \: by \: 5 : \\ \frac{ 5|2x| }{5} = \frac{60}{5} \\ |2x| = 12[/tex]
  2. [tex] \sf seperate \: the \: equation \:in \: 2 \:parts : \\ \begin{cases}2x = 12 \\ \: 2x = - 12\end{cases}[/tex]
  3. [tex] \sf \: di vide \: both \: sides \: by \: 2 : \\ \begin{cases} \frac{2x}{2} = \frac{12}{2} \\ \: \frac{2x}{2} = \frac{ - 12}{2} \end{cases} \\ \therefore x = \{6 , - 6 \}[/tex]