Solve for ‘x’: (1/4)(2x+1) = 16.

Question 21Answer

a.

x = -3/2

b.

x = -1/2

c.

x = -2

d.

x = -3

Let's solve the equation step by step:

Given:
\[
\frac{1}{4}(2x + 1) = 16
\]

1. **Eliminate the fraction**: Multiply both sides by 4 to get rid of the \(\frac{1}{4}\) coefficient:
   \[
   4 \times \frac{1}{4}(2x + 1) = 4 \times 16
   \]
   Simplifying this gives:
   \[
   2x + 1 = 64
   \]

2. **Isolate \(x\)**: Subtract 1 from both sides:
   \[
   2x = 64 - 1
   \]
   \[
   2x = 63
   \]

3. **Solve for \(x\)**: Divide both sides by 2:
   \[
   x = \frac{63}{2} = 31.5
   \]

Since \(x = 31.5\) is not listed among the options, it seems there may be an issue with the options provided. None of the provided answers match the correct solution.

Would you like to explore this problem further, or would you like to look into another question?

Here are 8 related questions:

1. How do you approach solving equations involving fractions?
2. What happens if you make an error in isolating the variable?
3. How can you check if a solution is correct in an equation?
4. What are common methods for solving linear equations?
5. How do you solve for a variable when the equation involves distribution?
6. What steps should be followed to solve equations with multiple operations?
7. How can equations be solved graphically?
8. What is the importance of checking all possible solutions?

**Tip:** Always write out each step clearly when solving equations to reduce the likelihood of mistakes.

Learn how to solve the equation (1/4)(2x + 1) = 16 step-by-step. This problem involves equations with fractions and isolating variables. Explore detailed solutions and improve your algebra skills. Suitable for high school students (Grades 9-12).

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