To solve the equation \( 3x - 5 = -x + 3 \), we'll go through the following steps:

### Step 1: Add \( x \) to both sides to combine like terms.
\[
3x + x - 5 = 3
\]
\[
4x - 5 = 3
\]

### Step 2: Add 5 to both sides to isolate the term with \( x \).
\[
4x = 3 + 5
\]
\[
4x = 8
\]

### Step 3: Divide both sides by 4 to solve for \( x \).
\[
x = \frac{8}{4}
\]
\[
x = 2
\]

So, the solution is \( x = 2 \).

Would you like further details or have any questions?

Here are some related questions for practice:

1. Solve \( 2x - 7 = x + 4 \).
2. Solve \( 5x + 3 = 2x - 9 \).
3. Solve \( 4x - 6 = -2x + 8 \).
4. Solve \( 6x + 1 = 3x + 7 \).
5. Solve \( 7x - 4 = -3x + 10 \).
6. Solve \( 9x - 3 = x + 21 \).
7. Solve \( 2x + 5 = -x - 3 \).
8. Solve \( 8x - 2 = 4x + 10 \).

**Tip:** Always perform the same operation on both sides of the equation to maintain equality.

Learn how to solve the equation 3x - 5 = -x + 3 with a detailed step-by-step solution. This problem covers linear equations and involves basic operations such as addition and division of variables. Suitable for students in Grades 7-9.

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