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
