What is the solution |2x+1|=3x+4

2x+1=3x+4

Subtract 4

2x-3=3x

Subtract 2x

|-3|=-x

Divide by - 1

|3|=x is your answer

First you need to work out the absolute value, |2x+1| becomes - 2x - 1

after that add one to both sides leaving you with: - 2x=3x+4

then subtract - 3x from both sides leave you with: - 5x=4

lastly you divide by - 5 on both sides leaving you with: x=-5/4 as your answer