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12 + 4(x-5) + 7x: Expanding and Simplifying the Expression
In this article, we will explore the expression 12 + 4(x-5) + 7x and learn how to expand and simplify it.
Expanding the Expression
To expand the expression, we need to follow the order of operations (PEMDAS):
- Evaluate the expressions inside the parentheses:
4(x-5) = 4x - 20 - Rewrite the expression:
12 + 4x - 20 + 7x
Combining Like Terms
Now that we have expanded the expression, we can combine like terms:
12 + 4x - 20 + 7x = 12 - 20 + 4x + 7x
Combine the constants: 12 - 20 = -8
Combine the variables: 4x + 7x = 11x
Simplifying the Expression
The final simplified expression is:
-8 + 11x
This is the simplified form of the original expression 12 + 4(x-5) + 7x.
Conclusion
In this article, we have learned how to expand and simplify the expression 12 + 4(x-5) + 7x using the order of operations and combining like terms. The final simplified expression is -8 + 11x.
