Evaluate the following arithmetic expressions:
`12+48-:12xx7-30`

Answer

To evaluate the arithmetic expression `12 + 48 ÷ 12 × 7 - 30`, we will follow the order of operations, often remembered by the acronym BODMAS (Brackets, Orders, Division and Multiplication (from left to right), Addition and Subtraction (from left to right)).

### Step-by-Step Solution:

1. **Identify the expression**:
The expression we need to evaluate is:
\[ 12 + 48 ÷ 12 × 7 - 30 \]

2. **Apply BODMAS**:
According to BODMAS, we first perform division and multiplication from left to right before addition and subtraction.

3. **Perform the division**:
Calculate \(48 ÷ 12\):
\[ 48 ÷ 12 = 4 \]
Now, substitute this back into the expression:
\[ 12 + 4 × 7 - 30 \]

4. **Perform the multiplication**:
Now calculate \(4 × 7\):
\[ 4 × 7 = 28 \]
Substitute this back into the expression:
\[ 12 + 28 - 30 \]

5. **Perform the addition**:
Now calculate \(12 + 28\):
\[ 12 + 28 = 40 \]
Substitute this back into the expression:
\[ 40 - 30 \]

6. **Perform the subtraction**:
Finally, calculate \(40 - 30\):
\[ 40 - 30 = 10 \]

### Final Answer:
The value of the expression \(12 + 48 ÷ 12 × 7 - 30\) is \(10\).

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