**Solving the Equation 2x – 1 = 9: A Step-by-Step Guide**

Are you facing a math puzzle that has you stumped? Do you feel overwhelmed by the complexity of algebraic equations? Fear not! In this comprehensive guide, we’ll break down the solution to the equation 2x – 1 = 9, empowering you to tackle any math challenge with confidence.

**The Struggle:**

Solving algebraic equations can be a daunting task, especially when you’re faced with unknowns and complex operations. The equation 2x – 1 = 9 presents a common hurdle, leaving many students struggling to find the value of the variable x. But fret no longer! With a clear and systematic approach, you can conquer this equation with ease.

**The Solution:**

To solve 2x – 1 = 9, we’ll use a step-by-step process:

**Isolate the variable:**Add 1 to both sides of the equation to get 2x = 10.**Solve for x:**Divide both sides by 2 to get x = 5.

**Therefore, the value of x in the equation 2x – 1 = 9 is 5.**

**Summary:**

In this guide, we’ve explored a simple and effective method to solve the equation 2x – 1 = 9. By following the steps outlined, you can master the art of solving algebraic equations and build a strong foundation in mathematics. Remember, with persistence and a clear understanding of the concepts, any math challenge can be overcome.

**Solving the Equation: 2x + 1 = 7**

**Introduction:**

In the realm of mathematics, solving equations is a fundamental skill that requires a systematic approach and logical reasoning. This article takes you through the step-by-step process of solving the equation 2x + 1 = 7, providing a clear and comprehensive explanation of the techniques involved.

**Step 1: Isolating the Variable**

The first step towards solving the equation is to isolate the variable, x, on one side of the equation. To achieve this, we need to eliminate the constant term, 1, from the left-hand side (LHS) of the equation.

**Subtracting 1 from Both Sides of the Equation:**

We subtract 1 from both sides of the equation to cancel out the constant term. This operation maintains the equality of the equation while isolating the variable x on the left-hand side.

**Result:**

2x = 6

**Step 2: Isolating the Coefficient**

Now that the constant term is eliminated, the next step is to isolate the coefficient of x, which is 2, on one side of the equation. To do this, we divide both sides of the equation by 2.

**Dividing Both Sides of the Equation by 2:**

Dividing both sides of the equation by 2 effectively isolates the coefficient of x, allowing us to solve for the value of x.

**Result:**

x = 3

**Conclusion:**

Through a systematic approach involving isolating the variable and the coefficient, we have successfully solved the equation 2x + 1 = 7, arriving at the solution x = 3. This step-by-step process demonstrates the fundamental principles of equation solving, providing a solid foundation for tackling more complex equations in the future.

**FAQs:**

**1. What is the first step in solving the equation 2x + 1 = 7?**

Isolating the variable x on one side of the equation.

**2. How do we isolate the variable x in the equation 2x + 1 = 7?**

By subtracting 1 from both sides of the equation.

**3. What is the result of subtracting 1 from both sides of the equation 2x + 1 = 7?**

2x = 6.

**4. How do we isolate the coefficient of x in the equation 2x = 6?**

By dividing both sides of the equation by 2.

**5. What is the final solution to the equation 2x + 1 = 7?**

x = 3.

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