Solve the following problem:
|2x+3|=-5

No solution exists. Hope that helps sorry it took me long I was typing alot as you can see bye and have a great day!

Step-by-step explanation:

1. Break down the problem into these 2 equations 2x+3=-5 -(2x+3)=-5

2. Solve the 1st equation : 2x+3=-5  Subtract 3 from both side 2x=-5-3 =-8 divides both sides by 2 x= -8/2 which give you x=-4 Now solve the 2nd equation : -(2x+3)=-5  Remove parentheses -2x-3=-5 add 3 to both sides  -2x=-5+3=-2 Divide both sides by -2x=-2 which would give you x=1

When x=-4x, the original equation ∣2x+3∣=−5 does not hold true.

We will drop x=-4x from the solution set.

When x=1, the original equation |2x+3|=-5 does not hold true.

We will drop x=1, from the solution set. So, No solution would be your answer.