Question

What is the solution to this problem? 2 | x+5 | =4

Answer 1

x = -3

x= -7

Explanation:

l x + 5 l = 4/2

(x + 5) = 2 or - (x + 5) = 2

- (x + 5) - 5 = 2 - 5

x = -3

- x - 5 = 2

- x - 5 + 5 = 2 + 5

-x = 7

x = -7

Answer 2

x = -7
x = -3

Explanation:

Given the following question:


`2\left|x+5\right|=4`

To find the answer to this question we have to remember to apply the absolute value. The absolute value means we have to convert any negative within the lines into positive.


`2\left|x+5\right|=4`

`(2\left|x+5\right|)/(2)=(4)/(2)`

`\left|x+5\right|=2`
Apply absolute value:

`x+5=-2`

`x+5=2`
Solve each equation:

`x+5=-2`

`5-5=0`

`-2-5=-7`

`x=-7`

`x+5=2`

`5-5=0`

`2-5=-3`

`x=-3`


Your answers are "x = -3 and x = -7."

Hope this helps.