Solve for ‘x’: (1/4)(2x+1) = 16.

Question 21Answer

a.

x = -3/2

b.

x = -1/2

c.

x = -2

d.

x = -3

To solve the equation \(\frac{1}{4}(2x + 1) = 16\), follow these steps:

1. **Eliminate the fraction**: Multiply both sides of the equation 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 to get:
   \[
   2x = 63
   \]

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

However, this value \(x = 31.5\) does not match any of the given options. There might be a mistake in the problem statement or the provided answer choices, as this is the correct solution to the equation.

Would you like to discuss this further or ask about other questions?

Here are 8 related questions:

1. How do you solve equations with fractions?
2. What are the steps to solving linear equations?
3. How do you verify if your solution to an equation is correct?
4. How do you solve equations with variables on both sides?
5. Can you explain how to solve equations with parentheses?
6. How do you handle equations that involve distributing and combining like terms?
7. How do you approach solving equations involving decimals?
8. What are some common mistakes to avoid when solving equations?

**Tip:** Always double-check your final answer by substituting it back into the original equation.

Learn how to solve the equation (1/4)(2x + 1) = 16 step-by-step with detailed explanations. This problem involves solving linear equations with fractions. Suitable for students in Grades 7-9.

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