To solve the equation \(5x - 6 = 34\), follow these steps:

1. **Add 6 to both sides** to isolate the term with \(x\):
   \[
   5x - 6 + 6 = 34 + 6
   \]
   Simplifies to:
   \[
   5x = 40
   \]

2. **Divide both sides by 5** to solve for \(x\):
   \[
   x = \frac{40}{5}
   \]
   Simplifies to:
   \[
   x = 8
   \]

So, the solution is:
\[
\boxed{x = 8}
\]

Would you like more details or have any questions?

Here are some related questions to explore:

1. How do you solve equations with variables on both sides?
2. What are the steps for solving multi-step equations?
3. How do you solve equations with fractions?
4. What happens if the variable term has a coefficient that is a fraction?
5. How do you check if your solution to an equation is correct?

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

Learn how to solve the linear equation 5x - 6 = 34 with a step-by-step guide. This solution demonstrates the basic algebraic process of isolating the variable and dividing to find the value of x. Ideal for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation