The concept of solving linear equations involves finding the value(s) of the variable(s) that make the equation true. A linear equation is an equation where the highest power of the variable is 1, meaning it graphs as a straight line when plotted. The general form of a linear equation in one variable is:

\[
ax + b = 0
\]

where:
- \(x\) is the variable,
- \(a\) and \(b\) are constants (real numbers),
- \(a \neq 0\).

### Steps to Solve Linear Equations:
1. **Isolate the variable**: Move terms involving the variable to one side of the equation, and constant terms to the other.
2. **Simplify the equation**: Combine like terms if necessary, simplifying both sides.
3. **Solve for the variable**: Divide or multiply to solve for the unknown variable.
4. **Check the solution**: Substitute the value back into the original equation to ensure it satisfies the equation.

### Example:

\[
3x + 5 = 11
\]

**Step 1**: Subtract 5 from both sides to isolate the term with \(x\):

\[
3x = 11 - 5
\]

\[
3x = 6
\]

**Step 2**: Divide both sides by 3 to solve for \(x\):

\[
x = \frac{6}{3} = 2
\]

**Step 3**: Verify the solution by substituting \(x = 2\) into the original equation:

\[
3(2) + 5 = 6 + 5 = 11
\]

Thus, \(x = 2\) is the correct solution.

### Types of Linear Equations:
1. **One variable**: \(ax + b = 0\) (e.g., \(3x - 7 = 2\)).
2. **Two variables**: \(ax + by = c\) (e.g., \(2x + 3y = 7\)).
3. **Systems of linear equations**: Multiple linear equations that share the same variables, solved simultaneously.

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### Related Questions:
1. How do you solve a linear equation with fractions?
2. What are the methods to solve systems of linear equations?
3. How do you graph a linear equation on the coordinate plane?
4. What is the difference between consistent and inconsistent systems of linear equations?
5. How can you apply linear equations in real-world problems?

### Tip:
When solving linear equations, always perform the same operation on both sides to maintain the balance of the equation.

Explore the concept of solving linear equations, including key steps such as isolating the variable, simplifying the equation, and verifying the solution. This guide covers the algebraic approach to linear equations with real examples, ideal for students in Grades 6-8.

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