x = -\frac-62(1) = \frac62 = 3 - Imagemakers

Understanding the Context

Understanding the Expression: x = –(–6)/(2(1)) = 6/2 = 3

The equation x = –(–6)/(2(1)) = 6/2 = 3 combines arithmetic fundamentals to arrive at a clean, definitive answer. Writing this clearly helps students, educators, and learners master core algebra skills. Let’s unpack each component.

Step 1: Evaluate the Numerator – The Negative Sign and Negative Numbers

The numerator is –(–6). The double negative here may confuse beginners, but it actually simplifies positively.

• The expression –(–6) reads as “negative of negative six.”
  
• By mathematical rules, two negative signs cancel out, converting to +6.

Key Insights

Step 2: Evaluate the Denominator – Order of Operations (PEMDAS/BODMAS)

The denominator is 2(1), a straightforward multiplication inside parentheses.

• 2 × 1 = 2, simplifying cleanly to 2.
  Following PEMDAS (Parentheses before Multiplication), operations inside parentheses are resolved first—here, multiplication—before addressing the negative signs.

Step 3: Simplify the Fraction

Now the equation becomes:
x = 6 / 2
Divide numerator by denominator:
6 ÷ 2 = 3

Final Thoughts

Why Understanding This Matters – Educational Significance and Practical Use

Minimal expressions like x = –(–6)/(2(1)) = 3 teach learners:

• How negative signs interact
  
• The impact of order of operations
  
• Simple fraction reduction

This clarity supports foundational math confidence and prepares students for more complex algebraic concepts such as solving linear equations, working with rational expressions, and understanding vectors and slopes.

From a search engine optimization (SEO) perspective, using clear, precise language—like defining each step—helps content rank better by addressing user intent effectively. Readers and students seeking “how to solve -(-6) divided by 2×1,” “step-by-step algebra,” or “simplify fraction x = -(-6)/(2×1)” will find content like this highly informative and authoritative.

Final Answer