Let's solve the equation step by step:

Given equation:
\[
5(3x + 1) = 50
\]

### Step 1: Distribute the 5 on the left-hand side.
\[
5 \times 3x + 5 \times 1 = 50
\]
\[
15x + 5 = 50
\]

### Step 2: Subtract 5 from both sides to isolate the term with \( x \).
\[
15x = 50 - 5
\]
\[
15x = 45
\]

### Step 3: Divide both sides by 15 to solve for \( x \).
\[
x = \frac{45}{15}
\]
\[
x = 3
\]

So, the solution is \( x = 3 \).

Would you like more details on this? 

Here are 5 related questions:
1. How would the solution change if the equation was \( 5(3x + 1) = 40 \)?
2. Can you solve \( 4(2x + 3) = 32 \)?
3. How would you solve \( 7(4x - 5) = 56 \)?
4. What happens if the equation was \( 5(3x + 1) = 50 + 2x \)?
5. How do you check if a solution is correct in a linear equation?

**Tip:** Always perform distribution carefully to avoid small mistakes in equations.

Solve the linear equation 5(3x + 1) = 50 with this step-by-step solution. Understand how to use the distributive property and isolate the variable x in algebraic equations. This solution is 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