Expanding and Simplifying the Expression: 2(5x+4)+3(2x-1)
In this article, we will expand and simplify the algebraic expression: 2(5x+4)+3(2x-1). To do this, we will follow the order of operations (PEMDAS) and apply the distributive property of multiplication over addition.
Expanding the Expression
First, let's expand the expression by multiplying the terms inside the parentheses:
2(5x+4) = 2(5x) + 2(4) = 10x + 8
3(2x-1) = 3(2x) - 3(1) = 6x - 3
Now, we can rewrite the original expression as:
10x + 8 + 6x - 3
Simplifying the Expression
Next, we will combine like terms to simplify the expression:
10x + 6x = 16x (combine x terms)
8 - 3 = 5 (combine constant terms)
So, the simplified expression is:
16x + 5
Therefore, the expanded and simplified form of the expression 2(5x+4)+3(2x-1) is 16x + 5.
