Let's solve the equation \( 6x - 4x = 36 \).

### Step 1: Simplify the left-hand side
Combine like terms:

\[
6x - 4x = 2x
\]

Now the equation becomes:

\[
2x = 36
\]

### Step 2: Solve for \( x \)
To isolate \( x \), divide both sides of the equation by 2:

\[
x = \frac{36}{2}
\]

\[
x = 18
\]

Thus, the solution is \( x = 18 \).

Would you like further explanation, or do you have any questions?

Here are 5 related questions to explore further:
1. How do you solve an equation with more terms, like \( 5x + 3 - 2x = 18 \)?
2. What happens if we have fractions in the equation, like \( \frac{6x}{2} - 4x = 36 \)?
3. Can you solve the equation \( 3(2x - 4) = 36 \)?
4. How would you solve a quadratic equation, such as \( 6x^2 - 4x = 36 \)?
5. What if there are variables on both sides, like \( 6x - 4x = 2x + 36 \)?

**Tip**: Always combine like terms before solving for the variable—it simplifies the equation and makes solving easier.

Learn how to solve the linear equation 6x - 4x = 36 with a clear step-by-step solution. This algebra problem involves simplifying like terms and solving for the variable x. Suitable for students in Grades 6-8.

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