%2Bx%2B9-and-2(x%2B7)%2B5.jpeg "(x+10)+x+9 And 2(x+7)+5")
Simplifying Algebraic Expressions: (x+10)+x+9 and 2(x+7)+5
In algebra, simplifying expressions is a crucial step towards solving equations and understanding relationships between variables. This article will guide you through the process of simplifying two expressions: (x+10)+x+9 and 2(x+7)+5.
Simplifying (x+10)+x+9
- Identify like terms: In this expression, we have three terms: x, 10, and 9. We can combine the 10 and 9 because they are both constant terms.
- Combine like terms: (x+10)+x+9 = x + x + 10 + 9
- Simplify: x + x + 10 + 9 = 2x + 19
Therefore, the simplified form of (x+10)+x+9 is 2x + 19.
Simplifying 2(x+7)+5
- Apply the distributive property: The distributive property states that a(b + c) = ab + ac. In this case, we multiply 2 by both x and 7 inside the parentheses.
- Distribute: 2(x+7)+5 = 2x + 14 + 5
- Combine like terms: 2x + 14 + 5 = 2x + 19
Therefore, the simplified form of 2(x+7)+5 is 2x + 19.
Conclusion
We have successfully simplified both expressions to 2x + 19. Notice that even though the original expressions were different, they resulted in the same simplified form. This demonstrates that understanding and applying the rules of algebra can lead to equivalent expressions.
Remember, simplifying expressions is an important foundation for solving equations and understanding algebraic concepts. Practice these techniques and continue to explore the fascinating world of algebra!