Math Problem Statement

5x-8|2-7|+2x x=1

Solution

The expression you provided is:

5x827+2x5x - 8 |2 - 7| + 2x

Let's break it down step by step:

  1. The absolute value 27=5=5|2 - 7| = | -5 | = 5.

    So the expression becomes: 5x85+2x5x - 8 \cdot 5 + 2x Simplifying further: 5x40+2x5x - 40 + 2x

  2. Combine like terms: (5x+2x)40=7x40(5x + 2x) - 40 = 7x - 40

  3. Now, substitute x=1x = 1: 7(1)40=740=337(1) - 40 = 7 - 40 = -33

So, the result of the expression when x=1x = 1 is 33-33.

Do you want more details or have any questions?

Here are 5 related questions to consider:

  1. What is the absolute value and how does it affect calculations?
  2. How do you simplify expressions involving like terms?
  3. What happens if you substitute different values for xx?
  4. How do you approach expressions with variables inside absolute values?
  5. How do you solve equations that include absolute values?

Tip: When solving problems with absolute values, always compute the absolute value first before handling other operations like multiplication or addition.

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Math Problem Analysis

Mathematical Concepts

Algebra
Absolute Values
Simplification of Expressions

Formulas

Absolute value formula |a| = a if a >= 0, -a if a < 0
Combining like terms

Theorems

Properties of Absolute Values
Distributive Property

Suitable Grade Level

Grades 6-8