Subtract :
`3a-2b +4c` from `5a-3b-5c`

Answer

To solve the problem of subtracting \(3a - 2b + 4c\) from \(5a - 3b - 5c\), we can follow these steps:

### Step 1: Write the expression for subtraction
We need to subtract \(3a - 2b + 4c\) from \(5a - 3b - 5c\). This can be written as:
\[ (5a - 3b - 5c) - (3a - 2b + 4c) \]

### Step 2: Distribute the negative sign
When we subtract the second expression, we need to distribute the negative sign across all the terms in the parentheses:
\[ 5a - 3b - 5c - 3a + 2b - 4c \]

### Step 3: Combine like terms
Now, we will combine the like terms:
- Combine the \(a\) terms: \(5a - 3a = 2a\)
- Combine the \(b\) terms: \(-3b + 2b = -1b\) or simply \(-b\)
- Combine the \(c\) terms: \(-5c - 4c = -9c\)

Putting it all together, we have:
\[ 2a - b - 9c \]

### Final Answer
Thus, the result of subtracting \(3a - 2b + 4c\) from \(5a - 3b - 5c\) is:
\[ \boxed{2a - b - 9c} \]

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