Respuesta :

xKelvin

Answer:

[tex]x=-2/5\text{ or } x=-4/5[/tex]

Step-by-step explanation:

So we have the equation:

[tex]9-4|3+5x|=5[/tex]

First, subtract 9 from both sides:

[tex]-4|3+5x|=-4[/tex]

Divide both sides by -4:

[tex]|3+5x|=1[/tex]

Definition of Absolute Value:

[tex]3+5x=1\text{ or } 3+5x=-1[/tex]

Subtract 3 from both sides:

[tex]5x=-2\text{ or } 5x=-4[/tex]

Divide both sides by 5:

[tex]x=-2/5\text{ or } x=-4/5[/tex]

And we're done!

wegnerkolmp2741o

Answer:

x = -2/5                  x = -4/5

Step-by-step explanation:

9-4|3+5x|=5

Subtract 9 from each side

9-9-4|3+5x|=5-9

-4|3+5x|=-4

Divide by -4

-4/-4 |3+5x|=-4/-4

|3+5x|=1

The solution to an absolute value is positive and negative

3+5x =1            3+5x = -1

Subtract 3 from each side

5x = 1-3             5x = -1-3

5x = -2               5x = -4

Divide by 5

5x/5 = -2/5           5x/5 = -4/5

x = -2/5                  x = -4/5

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