To solve the expression \((12 + 18) \times 5 + 56 : (38 - 24)\), we will follow the order of operations (parentheses first, then multiplication and division from left to right, and finally addition and subtraction).
Calculate the values inside the parentheses: \[ 12 + 18 = 30 \] \[ 38 - 24 = 14 \]
Substitute these values back into the expression: \[ (30) \times 5 + 56 : (14) \]
Next, perform the multiplication and division: \[ 30 \times 5 = 150 \] \[ 56 : 14 = 4 \]
Now, substitute these results back into the expression: \[ 150 + 4 \]
Finally, perform the addition: \[ 150 + 4 = 154 \]
The final answer is \(154\).