Let's solve the equation:

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

### Step 1: Combine like terms
The terms involving \( x \) are \( -2x \) and \( -10x \). So, we add them:

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

Now the equation becomes:

\[
-12x + 12 = 18
\]

### Step 2: Subtract 12 from both sides
To isolate the term with \( x \), subtract 12 from both sides:

\[
-12x = 18 - 12
\]

\[
-12x = 6
\]

### Step 3: Solve for \( x \)
Now divide both sides by -12:

\[
x = \frac{6}{-12}
\]

\[
x = -\frac{1}{2}
\]

### Final answer:
\[
x = -\frac{1}{2}
\]

Would you like more details or have any questions?

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Here are some related questions for practice:
1. Solve \( 3x + 4x - 7 = 10 \).
2. Solve \( -5x + 12 = 22 \).
3. Solve \( 2x - 6 = 8x + 12 \).
4. Solve \( -8x - 14 = 0 \).
5. Solve \( 4(x - 3) = 2(x + 1) \).

**Tip:** Always combine like terms as the first step when simplifying equations.

Learn how to solve the linear equation -2x - 10x + 12 = 18 using a step-by-step approach. This problem covers key algebraic concepts such as combining like terms and solving for variables. Suitable for students in Grades 6-8.

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