Question

I need help solving for X. Please tell me the steps.

Answer 1

No solution

Explanation:

5|x+1| + 7 = -38

5|x+1| = -38 - 7

5|x+1| = -45

Divide both sides by -5

|x + 1| = -9

Because of how the modulus works, whatever is inside it, whether positive or negative, will become positive.

And since the left side is always positive and the right side is always negative, there is no value of x that can satisfy the equation.

Therefore there is no solution to this equation

Answer 2

No solution for x

Explanation:

Subtract 7 from both sides
==>
`5\left|x+1\right|+7-7=-38-7`

==>
`5\left|x+1\right|=-45`

Divide both sides by 5
==>
`(5\left|x+1\right|)/(5)=(-45)/(5)`

==>
`\left|x+1\right|=-9`

But this is not possible since absolute value cannot be negative

Hence the equation is inconsistent and therefore there are no solutions for x