Question

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

Answer 1

Answer:

x = -7
x = -3

Step-by-step 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.

$2\left|x+5\right|=4$
$\frac{2\left|x+5\right|}{2}=\frac{4}{2}$
$\left|x+5\right|=2$
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.

Answer 2

Answer:

x = -3

x= -7

Step-by-step 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