Solution set of |2x + 3| = |5x - 3| is

x = - 1 or x = 4

Explanation:

You have an absolute value equation.

First, isolate the absolute value part.

Then, turn it into two equations and solve the two equations separately.

|2x - 3| + 1 = 6

First, we isolate the absolute value expression:

|2x - 3| = 5

Now we separate the problem into two different equations and solve both equations.

2x - 3 = 5 or 2x - 3 = - 5

2x = 8 or 2x = - 2

x = 4 or x = - 1

Answer: x = - 1 or x = 4