Math Problem Statement

Sutraukite panašiuosius narius: 2(4 + x) + 2x - 8.

Solution

The image shows an expression to be simplified:

2(4+x)+2x82(4 + x) + 2x - 8

Let's simplify it step by step:

  1. Distribute the 22 to both terms inside the parentheses: 2×4+2×x+2x8=8+2x+2x82 \times 4 + 2 \times x + 2x - 8 = 8 + 2x + 2x - 8

  2. Combine like terms: 88+2x+2x=0+4x8 - 8 + 2x + 2x = 0 + 4x

So, the simplified expression is: 4x4x

Let me know if you need any further details or clarification!

Here are 5 related questions:

  1. How do you simplify expressions involving fractions?
  2. What happens when you distribute a negative number in an expression?
  3. How can you factor expressions with common terms?
  4. What is the difference between expanding and factoring expressions?
  5. How do you solve for xx in linear equations?

Tip: Always combine like terms as the last step in simplifying an algebraic expression!

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Math Problem Analysis

Mathematical Concepts

Algebra
Simplifying Expressions
Distributive Property

Formulas

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

Theorems

Combining Like Terms

Suitable Grade Level

Grades 7-9