https://file.aiquickdraw.com/mathbot/file/17277944912168h3dwst2.jpg

The equation in the image is:

\[
\frac{1}{5}(15x - 25) = 20 + 8
\]

Let's solve it step by step:

### Step 1: Simplify both sides
- On the right-hand side: 
  \[
  20 + 8 = 28
  \]

- The equation becomes:
  \[
  \frac{1}{5}(15x - 25) = 28
  \]

### Step 2: Eliminate the fraction
Multiply both sides of the equation by 5 to eliminate the fraction:
\[
15x - 25 = 5 \times 28
\]
\[
15x - 25 = 140
\]

### Step 3: Solve for \( x \)
Add 25 to both sides:
\[
15x = 140 + 25
\]
\[
15x = 165
\]

Now, divide both sides by 15:
\[
x = \frac{165}{15} = 11
\]

So, the value of \( x \) is **11**.

Would you like more details on any step, or do you have any other questions?

### Related Questions:
1. How do you solve equations with fractions?
2. What are the steps for solving multi-step equations?
3. How can you check if your solution is correct?
4. What happens if both sides of an equation have variables?
5. How do you isolate a variable in an equation?

### Tip:
Always simplify both sides of the equation as much as possible before trying to isolate the variable.

What is the value of x that makes the following equation true?
(1/5)(15x - 25) = 20 + 8

Learn how to solve the linear equation (1/5)(15x - 25) = 28 using algebraic steps. This problem covers key concepts such as fraction elimination, equation balancing, and solving for x. Suitable 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