Answer:
32x - 26.
Explanation:
To solve the expression 6(2x + 3) - 4(5x + 2), we can use the distributive property and simplify the terms. Step 1: Apply the distributive property In the expression 6(2x + 3), distribute the 6 to both terms inside the parentheses: 6 * 2x + 6 * 3 = 12x + 18 Similarly, in the expression 4(5x + 2), distribute the 4 to both terms inside the parentheses: 4 * 5x + 4 * 2 = 20x + 8 Step 2: Combine like terms Now, we can combine the like terms. In this case, the like terms are the ones with the same variable, x. Combine the terms 12x and 20x: 12x + 20x = 32x Combine the terms 18 and 8: 18 + 8 = 26 Step 3: Final answer After combining like terms, the expression 6(2x + 3) - 4(5x + 2) simplifies to: 32x - 26 Therefore, the expression 6(2x + 3) - 4(5x + 2) is equivalent to 32x - 26.