Final answer:
The subtraction of (12x-1.6)-(18x+7.2) is corrected by distributing the negative sign and combining like terms, resulting in -6x + 5.6 as the correct answer.
Step-by-step explanation:
To correct the subtraction (12x−1.6)−(18x+7.2), we first distribute the negative sign inside the second parentheses, which changes the signs of the terms inside. The correct subtraction process is:
12x - 1.6 - 18x - (-7.2)
Let's solve it step by step:
- Combine the like terms for the x variable: 12x - 18x = -6x.
- Note that - (-7.2) becomes +7.2, and combine the constant terms: -1.6 + 7.2 = 5.6.
- Now, put the results together: -6x + 5.6.
So, the correct answer is -6x + 5.6, which corresponds to option (a).