Math Problem Statement

Distribute and combine 6(x + 3) - 10 + 2x

Solution

Let's solve the given expression:

6(x+3)10+2x6(x + 3) - 10 + 2x

Step 1: Distribute the 6 across the parentheses.

6(x+3)=6x+186(x + 3) = 6x + 18

So now the expression becomes: 6x+1810+2x6x + 18 - 10 + 2x

Step 2: Combine like terms.

  • Combine the xx-terms: 6x+2x=8x6x + 2x = 8x
  • Combine the constants: 1810=818 - 10 = 8

Thus, the simplified expression is: 8x+88x + 8

The correct answer is A: 8x + 8.

Would you like more details or have any questions?

Here are some related questions:

  1. How do you distribute in algebraic expressions?
  2. How do you combine like terms?
  3. What is the difference between constants and variables?
  4. How would the solution change if the constant was different?
  5. How do you simplify expressions with more complex coefficients?

Tip: When distributing, always multiply each term inside the parentheses by the factor outside before combining like terms.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Distribution
Combining Like Terms

Formulas

Distributive Property: a(b + c) = ab + ac

Theorems

Basic algebraic rules for simplifying expressions

Suitable Grade Level

Grades 6-8