We are given the equation:

\[
-10 + 2x = -6
\]

To solve for \( x \), follow these steps:

### Step 1: Isolate the term with \( x \)
First, add 10 to both sides to move the constant term from the left-hand side.

\[
2x = -6 + 10
\]

\[
2x = 4
\]

### Step 2: Solve for \( x \)
Now, divide both sides by 2 to isolate \( x \).

\[
x = \frac{4}{2}
\]

\[
x = 2
\]

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

Do you want further details or have any questions?

Here are 5 related questions to deepen understanding:
1. What happens if the equation was \( -10 + 2x = 0 \)?
2. How do we handle equations where \( x \) is on both sides, such as \( 2x - 4 = x + 3 \)?
3. Can you solve \( 3x - 7 = 2x + 1 \)?
4. How would you solve for \( x \) in \( 5x + 3 = 18 \)?
5. What if the equation was \( -10 + 2x = 6 \) instead of \( -6 \)?

**Tip**: Always start by simplifying both sides of an equation to isolate the variable.

Learn how to solve the linear equation -10 + 2x = -6 using simple algebraic steps. This problem involves isolating the variable and solving for x, making it ideal for students in Grades 6-8.

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