We start by solving the equation:

\[
|2x - 2| + 3 = 5
\]

### Step 1: Isolate the absolute value expression
Subtract 3 from both sides:

\[
|2x - 2| = 5 - 3
\]

\[
|2x - 2| = 2
\]

### Step 2: Solve the absolute value equation
Now, we solve the absolute value equation by considering two cases:

#### Case 1: \(2x - 2 = 2\)

\[
2x = 2 + 2
\]
\[
2x = 4
\]
\[
x = 2
\]

#### Case 2: \(2x - 2 = -2\)

\[
2x = -2 + 2
\]
\[
2x = 0
\]
\[
x = 0
\]

### Final solution:
The solutions are:

\[
x = 2 \quad \text{or} \quad x = 0
\]

Would you like more details or have any questions?

Here are some related questions:
1. How do you solve equations with multiple absolute value terms?
2. What are the steps to graph the equation \( |2x - 2| + 3 = 5 \)?
3. Can absolute value equations have no solution?
4. What is the difference between solving \( |ax + b| = c \) and \( ax + b = c \)?
5. How do absolute value functions behave when reflected on the x-axis?

**Tip:** When solving absolute value equations, always remember to consider both the positive and negative cases.

Learn how to solve the absolute value equation ∣2x−2∣ + 3 = 5 with a step-by-step breakdown. This problem demonstrates the concept of absolute value and the process of isolating absolute value expressions, suitable for students in Grades 9-11.

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