Let's solve the equation step by step:

Given equation:

\[
(x \times 8) + (1.5x \times 4) + (2x \times 2) = 723
\]

1. **Simplify each term:**

\[
8x + 6x + 4x = 723
\]

2. **Combine like terms:**

\[
18x = 723
\]

3. **Solve for \( x \):**

\[
x = \frac{723}{18} = 40.1667
\]

So, \( x \approx 40.17 \) (rounded to two decimal places).

Would you like more details or have any questions?

Here are 5 related questions to expand on this topic:

1. What happens if we change the coefficient of \(x\) in one of the terms?
2. How would the solution change if there was a constant term added to the equation?
3. What is the solution if \(723\) was instead \(1000\)?
4. How would you check if the solution for \(x\) is correct?
5. Can this equation have more than one solution?

**Tip:** When solving linear equations, always simplify and combine like terms to make solving easier.

Learn how to solve the linear equation (8x) + (1.5x * 4) + (2x * 2) = 723 with a detailed step-by-step solution. This problem covers key algebraic concepts, including linear equations and simplification of algebraic expressions. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation