Respuesta :

wegnerkolmp2741o

Answer:

x = 8                          x = 2

Step-by-step explanation:

1+3|x-5|=10

Subtract 1 from each side

1-1+3|x-5|=10-1

3|x-5|=9

Divide by 3

3/3|x-5|=9/3

|x-5|=3

There is a positive and negative solutions

x-5 =3            x-5 = -3

Add 5 to each side

x-5+5 = 3+5           x-5+5 = -3+5

x = 8                          x = 2

xKelvin

Answer:

[tex]x=2,8[/tex]

Step-by-step explanation:

So we have the equation:

[tex]1+3|x-5|=10[/tex]

First, subtract 1 from both sides:

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

Now, divide 3 from both sides:

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

Definition of absolute value:

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

For the left, add 5 to both sides.

For the right, add 5 to both sides:

[tex]x=3+5\text{ or } x=-3+5\\x=8\text{ or }x=2[/tex]

Thus, the answers are:

[tex]x=2,8[/tex]