To solve a linear equation, we want to isolate the variable (typically \( x \)) on one side of the equation. A linear equation typically takes the form:

\[
ax + b = c
\]

where:
- \( a \), \( b \), and \( c \) are constants.
- \( x \) is the variable.

### Steps for Solving a Linear Equation
1. **Simplify Both Sides**: If there are any parentheses, distribute them. Also, combine like terms if necessary.
2. **Isolate the Variable**:
   - Move constants to the other side by adding or subtracting.
   - Move terms with \( x \) to one side, if they're on both sides.
3. **Solve for \( x \)**: Divide or multiply to get \( x \) by itself.

#### Example
Suppose we have the equation:
\[
3x + 5 = 14
\]

**Step 1:** Subtract 5 from both sides:
\[
3x = 9
\]

**Step 2:** Divide both sides by 3:
\[
x = 3
\]

So, the solution is \( x = 3 \).

Would you like more details on solving different types of linear equations or have any specific equation in mind?

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### Related Practice Questions
1. Solve \( 4x - 7 = 21 \).
2. Find \( x \) if \( 2x + 3 = 5x - 6 \).
3. Solve \( -2x + 8 = 10 \).
4. Determine the value of \( x \) in \( 7x + 4 = 5x + 12 \).
5. If \( 6x - 9 = 0 \), what is \( x \)?

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**Tip:** Always check your solution by plugging the value back into the original equation to verify it satisfies the equation.

Learn the step-by-step process for solving linear equations such as 3x + 5 = 14. This guide explains how to isolate the variable using algebraic techniques and includes practice problems. Ideal for students in Grades 6-8.

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