We are tasked with solving the equation:

\[
-2x - 10 + 12 = 18
\]

### Step 1: Simplify the left-hand side.
First, combine like terms on the left-hand side:

\[
-2x + (-10 + 12) = 18
\]
\[
-2x + 2 = 18
\]

### Step 2: Isolate the variable term.
Next, subtract 2 from both sides to isolate the term with \(x\):

\[
-2x = 18 - 2
\]
\[
-2x = 16
\]

### Step 3: Solve for \(x\).
Now, divide both sides by \(-2\) to solve for \(x\):

\[
x = \frac{16}{-2}
\]
\[
x = -8
\]

So, the solution is \(x = -8\).

Do you want more details, or have any questions?

Here are 5 related questions:
1. How do you solve equations with multiple variables?
2. Can you solve inequalities the same way as equations?
3. How does factoring help solve quadratic equations?
4. What is the method for solving equations involving fractions?
5. How do you apply the distributive property in equations?

**Tip:** Always simplify both sides of an equation before attempting to isolate the variable.

Learn how to solve the linear equation -2x - 10 + 12 = 18 with a clear step-by-step solution. This problem covers essential algebraic concepts, including combining like terms and isolating the variable. Suitable for students in Grades 6-8.

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