https://file.aiquickdraw.com/mathbot/file/1727516606407hwco7rlp.jpg

Let's solve the equation:

\[
\frac{5(2w + 1)}{3} = 11
\]

### Step 1: Eliminate the fraction by multiplying both sides by 3:

\[
5(2w + 1) = 33
\]

### Step 2: Expand the left-hand side:

\[
10w + 5 = 33
\]

### Step 3: Subtract 5 from both sides:

\[
10w = 28
\]

### Step 4: Divide both sides by 10 to solve for \(w\):

\[
w = \frac{28}{10} = 2.8
\]

Thus, the solution is:

\[
w = 2.8
\]

Would you like more details on any step? 

Here are 5 related questions for further practice:
1. How would the solution change if the equation were \(\frac{5(2w + 1)}{4} = 11\)?
2. Solve for \(w\) if the equation were \(\frac{5(3w + 2)}{3} = 12\).
3. What happens to the solution if the constant on the right side is doubled?
4. How do you handle equations with more complex fractions?
5. Solve the equation \(\frac{7(3w - 2)}{5} = 10\).

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

Solve (5(2w+1))/3 = 11. Give your answer as a decimal.

Learn how to solve the linear equation (5(2w+1))/3 = 11 step-by-step. This problem covers key algebraic concepts like the distributive property and solving for variables in linear equations. Suitable for students in Grades 7-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation