Math Problem Statement

2x{11+[2x(20-15+8x3)]+1}

Solution

Let's solve the expression step by step:

Given expression: 2x{11+[2x(2015+8x3)]+1}2x\{11 + [2x(20 - 15 + 8x3)] + 1\}

Step 1: Simplify inside the parentheses.

Start with the innermost parentheses: 2015+8x320 - 15 + 8x3 Calculate 201520 - 15: 2015=520 - 15 = 5 Then multiply: 8x3=248x3 = 24 Add these results: 5+24=295 + 24 = 29 So the expression inside the parentheses becomes: 2x(29)2x(29)

Step 2: Multiply 2 by 29:

2x29=582x29 = 58

Step 3: Replace back into the expression:

2x{11+[58]+1}2x\{11 + [58] + 1\}

Step 4: Simplify inside the braces:

11+58+1=7011 + 58 + 1 = 70 Now the expression becomes: 2x702x70

Step 5: Final multiplication:

2x70=1402x70 = 140

So, the final result is: 140\boxed{140}

Would you like any further details or explanations?

Related Questions:

  1. How do you handle expressions with multiple sets of parentheses?
  2. What is the order of operations in mathematical expressions?
  3. How can you solve more complex expressions with nested parentheses?
  4. How would you handle an expression with division and subtraction included?
  5. Can expressions like this be simplified using distributive properties?

Tip:

Always work from the innermost parentheses outwards when simplifying expressions with multiple layers of parentheses.

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Math Problem Analysis

Mathematical Concepts

Algebra
Order of Operations
Simplification

Formulas

Basic Arithmetic Operations
Distributive Property

Theorems

Order of Operations (PEMDAS)

Suitable Grade Level

Grades 5-7