%2B2(x-4)-(x-15).jpeg "(12x+1)+2(x-4)-(x-15)")
Simplifying the Expression: (12x+1)+2(x-4)-(x-15)
This article will guide you through the process of simplifying the algebraic expression: (12x+1)+2(x-4)-(x-15).
Understanding the Order of Operations
Before we start simplifying, let's recall the order of operations, often remembered by the acronym PEMDAS or BODMAS:
- Parentheses (or Brackets)
- Exponents (or Orders)
- Multiplication and Division (from left to right)
- Addition and Subtraction (from left to right)
Simplifying the Expression
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Distribute: We begin by distributing the 2 in front of the second set of parentheses: (12x+1) + 2(x-4) - (x-15) = 12x + 1 + 2x - 8 - (x-15)
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Remove Parentheses: Since we have a minus sign in front of the last set of parentheses, we need to change the signs of the terms inside: 12x + 1 + 2x - 8 - (x-15) = 12x + 1 + 2x - 8 - x + 15
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Combine Like Terms: Now, we combine the terms with 'x' and the constant terms: 12x + 2x - x + 1 + 15 - 8 = 13x + 8
Final Result
Therefore, the simplified form of the expression (12x+1)+2(x-4)-(x-15) is 13x + 8.