Verified Answer :

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

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