Final answer:
The algebraic expression -2.5(4x-3) simplifies to -10x + 7.5 by distributing the -2.5 across the terms in the parentheses.
Step-by-step explanation:
To simplify the expression -2.5(4x-3), we need to distribute the -2.5 across the terms inside the parentheses. First, you multiply -2.5 by 4x, which gives -10x. Then, you multiply -2.5 by -3, which results in +7.5. Combining these two results, the expression simplifies to -10x + 7.5.
Let's go through the steps:
Multiply -2.5 by 4x: -2.5 * 4x = -10x
Multiply -2.5 by -3: -2.5 * -3 = 7.5
Combine the terms: -10x + 7.5
This is the simplified form of the initial expression.