Question

4|x+5|=20 Thanks for the help

Answer 1

4 |x = 5| = 20

First, divide both sides by 4. / Your problem should look like: $|x + 5| = 5$
Second, simplify $\frac{20}{4}$ to 5. / Your problem should look like: $|x + 5| = 5$
Third, break the problem into 2 equations. / x + 5 = 5 and -(x + 5) = 5
Fourth, solve x + 5 = 5. / 
Cancel 5 on both sides. / $x = 0$
Fifth, solve -(x + 5) = 5 / 
Simplify brackets / $-x - 5 = 5$
Add 5 to both sides / $-x = 5 + 5$
Add 5 + 5 / $-x = 10$
Multiply both sides by -1 / $x = -10$
x = -10
Sixth, collect the solutions to the problems. / Your problem should look like: $x = -10, 0$

Answer: x = -10, 0

Answer 2

4Ix+5I=20
$4(-(x+5))=20$
$4(-x-5)=20$  distributhing 4 through parantheses
$-4x-4*5=20$
$-4x-20=20$
$-4x=20+20$
$-4x=40$ divide by -4 
$x= \frac{40}{-4}$ simplify
$x=-10$
The answer is : - 10