−6x−10+6x−18=4
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Let's solve the equation \(-6x - 10 + 6x - 18 = 4\) step by step.

### Step 1: Simplify the equation
First, we combine like terms on the left side of the equation.

\[
-6x + 6x - 10 - 18 = 4
\]

Notice that \(-6x\) and \(+6x\) cancel each other out because they add up to 0.

\[
-10 - 18 = 4
\]

So, the equation simplifies to:

\[
-28 = 4
\]

### Step 2: Analyze the simplified equation
The simplified equation is \(-28 = 4\), which is a contradiction. This statement is false because \(-28\) does not equal \(4\).

### Conclusion
Since the simplified equation leads to a contradiction, this means that the original equation has no solution. 

This type of equation is called an **inconsistent equation** because it has no solution. The original equation does not hold true for any value of \(x\).

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Would you like to dive deeper into any of these steps or have any other questions?

Here are some related questions you might be interested in:
1. What are the steps to solve equations with variables on both sides?
2. How do you identify and solve inconsistent equations?
3. What does it mean for an equation to have no solution?
4. Can you provide examples of equations with one solution?
5. How do you solve equations involving fractions?

**Tip:** Always check if like terms can be combined or if variables cancel out early in the process—it can simplify the equation significantly.

Learn how to solve the equation -6x - 10 + 6x - 18 = 4 with a detailed step-by-step solution. This problem involves algebraic concepts such as combining like terms and analyzing inconsistent equations. Suitable for high school students.

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