To solve the equation \( 7x - 5x + 2 = 6 \), follow these steps:

1. **Combine like terms**: The terms \( 7x \) and \( 5x \) are like terms, so you can combine them.
   \[
   (7x - 5x) + 2 = 6
   \]
   Simplifying this, you get:
   \[
   2x + 2 = 6
   \]

2. **Isolate the variable term**: Subtract 2 from both sides to get the term with \( x \) by itself.
   \[
   2x + 2 - 2 = 6 - 2
   \]
   Simplifying this, you get:
   \[
   2x = 4
   \]

3. **Solve for \( x \)**: Divide both sides by 2.
   \[
   \frac{2x}{2} = \frac{4}{2}
   \]
   Simplifying this, you get:
   \[
   x = 2
   \]

The solution is \( x = 2 \).

Would you like more details or have any questions?

Here are some related questions you might find interesting:

1. What happens if you have an equation like \( 3x + 7 = 2x + 9 \)?
2. How do you solve equations with variables on both sides, like \( 5x + 3 = 2x + 15 \)?
3. What are the steps to solve a quadratic equation?
4. How do you solve an equation with a fraction, like \( \frac{2x + 3}{5} = 4 \)?
5. What is the difference between an equation and an inequality?
6. How do you solve systems of linear equations?
7. What is the substitution method for solving systems of equations?
8. How do you graph a linear equation on a coordinate plane?

**Tip:** Always check your solution by substituting it back into the original equation to ensure it satisfies the equation.

Learn how to solve the equation 7x - 5x + 2 = 6 with a detailed step-by-step solution. This problem covers key algebraic concepts, including combining like terms, isolating variables, and solving linear equations. Suitable for students in Grades 7-9.

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