Question

How do you solve
|2x+1|=|3x+4| ?

Answer 1

Answer: x= -3, -1

1) break down the problem into these 2 equations

2x+1=3x+4

2x+1=−(3x+4)

2) solve the first equation: 2x+1=3x+4

x=-3

3) solve the second equation: 2x+1=−(3x+4)

x= -1

4) collect all solutions

x=-3,-1

Answer 2

Answer: (5x + 5)

Step-by-step explanation: We have to distribute

2x+1

3x+4

Add the same symbol 2x+3x=5x

4+1=5

So 5x+5