Math Problem Statement

Solve 8(x + 5).

Solution

The equation in the image reads:

8(x+5)=8(x + 5) =

To solve this expression, we need to distribute the 8 across the terms inside the parentheses:

8(x+5)=8x+85=8x+408(x + 5) = 8 \cdot x + 8 \cdot 5 = 8x + 40

Thus, the simplified expression is:

8(x+5)=8x+408(x + 5) = 8x + 40

Would you like more details on the distribution process, or do you have any other questions?

Here are some related questions:

  1. How would you solve 5(x+7)5(x + 7)?
  2. What happens if the value of xx is given in the equation?
  3. Can you factor 8x+408x + 40 back into its original form?
  4. How does distributing work with negative numbers?
  5. What if there were more terms inside the parentheses, like 8(x+5+2)8(x + 5 + 2)?

Tip: When distributing a constant over a sum or difference inside parentheses, make sure to multiply the constant with each term inside.

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Math Problem Analysis

Mathematical Concepts

Algebra
Distributive Property

Formulas

a(b + c) = ab + ac

Theorems

Distributive Property of Multiplication

Suitable Grade Level

Grades 6-8