%2B2(x-4)-(x-15).jpeg "(12x+1)+2(x-4)-(x-15)")
Simplifying Algebraic Expressions: (12x+1)+2(x-4)-(x-15)
In this article, we will explore how to simplify the algebraic expression (12x+1)+2(x-4)-(x-15). Simplifying algebraic expressions is an essential skill in mathematics, and it involves combining like terms and eliminating any parentheses or other grouping symbols.
Step 1: Distribute the 2
The first step is to distribute the 2 to the terms inside the parentheses:
(12x+1)+2x-8-(x-15)
Step 2: Combine Like Terms
Next, we combine like terms:
12x + 2x - x + 1 - 8 + 15
Step 3: Simplify the Expression
Now, we simplify the expression by combining the like terms:
13x + 8
And that's it! We have simplified the algebraic expression (12x+1)+2(x-4)-(x-15) to 13x + 8.
Conclusion
Simplifying algebraic expressions is an important skill in mathematics. By following the steps outlined above, we can simplify complex expressions and make them easier to understand. In this case, we simplified the expression (12x+1)+2(x-4)-(x-15) to 13x + 8.
