Question

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

Answer 1

Answer:

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