https://file.aiquickdraw.com/mathbot/file/1726996271989sf08hi0z.jpg

The equation provided is:

\[
3(3 - x) - \frac{2(x + 2)}{5} = 1
\]

Let's solve it step by step.

### Step 1: Expand the terms
Distribute the constants inside the parentheses:
\[
3(3 - x) = 9 - 3x
\]
So the equation becomes:
\[
9 - 3x - \frac{2(x + 2)}{5} = 1
\]

### Step 2: Eliminate the fraction
Multiply every term by 5 to eliminate the denominator:
\[
5 \times (9 - 3x) - 2(x + 2) = 5
\]
This gives:
\[
45 - 15x - 2(x + 2) = 5
\]

### Step 3: Expand and simplify
Expand the second term:
\[
45 - 15x - 2x - 4 = 5
\]
Combine like terms:
\[
45 - 4 - 15x - 2x = 5
\]
\[
41 - 17x = 5
\]

### Step 4: Solve for \(x\)
Isolate \(x\):
\[
41 - 5 = 17x
\]
\[
36 = 17x
\]
\[
x = \frac{36}{17}
\]

Thus, the solution is:
\[
x = \frac{36}{17}
\]

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you simplify algebraic expressions involving fractions?
2. What is the distributive property and how is it used in algebra?
3. How can multiplying by a common denominator help in solving equations with fractions?
4. How do you check if your solution to an equation is correct?
5. What are the different methods for solving linear equations?

**Tip:** Always aim to eliminate fractions early in an equation to simplify your calculations.

Solve the equation: 3(3 - x) - (2(x + 2)) / 5 = 1

Learn how to solve the linear equation 3(3 - x) - (2(x + 2)) / 5 = 1 with a detailed step-by-step solution. This problem covers key algebraic concepts, including fractions and the distributive property. Suitable for students in Grades 8-10.

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