Subtract: `3a+4b-2c` from `6a-2b+3c`.

Answer

To solve the problem of subtracting \(3a + 4b - 2c\) from \(6a - 2b + 3c\), we will follow these steps:

### Step 1: Write the expression for subtraction
We start with the expression:
\[ 6a - 2b + 3c - (3a + 4b - 2c) \]

### Step 2: Distribute the negative sign
Next, we distribute the negative sign across the terms in the parentheses:
\[ 6a - 2b + 3c - 3a - 4b + 2c \]

### Step 3: Combine like terms
Now, we will combine the like terms:
- For the \(a\) terms: \(6a - 3a = 3a\)
- For the \(b\) terms: \(-2b - 4b = -6b\)
- For the \(c\) terms: \(3c + 2c = 5c\)

Putting it all together, we have:
\[ 3a - 6b + 5c \]

### Final Answer
Thus, the result of subtracting \(3a + 4b - 2c\) from \(6a - 2b + 3c\) is:
\[ 3a - 6b + 5c \]

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