Explanation:
5(3x+2) - 2(4x-1)
To expand and simplify the expression 5(3x+2) - 2(4x-1), you can apply the distributive property of multiplication over addition/subtraction. Let's break it down step by step:
First, distribute the 5 to both terms inside the parentheses:
5 * 3x + 5 * 2 - 2(4x-1)
This simplifies to:
15x + 10 - 2(4x-1)
Next, distribute the -2 to both terms inside its parentheses:
15x + 10 - (2 * 4x) - (2 * -1)
This simplifies to:
15x + 10 - 8x + 2
Combining like terms:
(15x - 8x) + (10 + 2)
This simplifies to:
7x + 12
Therefore, the expanded and simplified form of 5(3x+2) - 2(4x-1) is 7x + 12.