This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Right Dery, let's go. Step 1: Expand the terms in the equation. 2(3x+3) + 8(x+1) = 74 6x + 6 + 8x + 8 = 74 Step 2: Combine like terms (x terms and constant terms). (6x + 8x) + (6 + 8) = 74 14x + 14 = 74 Step 3: Subtract 14 from both sides of the equation. 14x + 14 - 14 = 74 - 14 14x = 60 Step 4: Divide both sides by 14 to solve for x. x = (60)/(14) x = (30)/(7) Looking at the options provided (A.3, B.4, C.5, D.6), none of them match (30)/(7). Let me recheck the calculation. Rechecking Step 1: 2(3x+3) = 6x+6 8(x+1) = 8x+8 6x+6+8x+8 = 74 (Correct) Rechecking Step 2: 6x+8x = 14x 6+8 = 14 14x+14 = 74 (Correct) Rechecking Step 3: 14x = 74-14 14x = 60 (Correct) Rechecking Step 4: x = (60)/(14) = (30)/(7) (Correct) It appears there might be a discrepancy between the calculated answer and the given multiple-choice options. Based on the calculation, the exact value of x is (30)/(7). If this were a multiple-choice question, and assuming there isn't a typo in the question or options, none of the provided options are correct. However, if we assume there might be a slight error in transcribing the question or options, let's consider if any option is close or if there's a common mistake that leads to one of the options. 30/7 ≈ 4.28. Option A is 3. Option B is 4. Option C is 5. Option D is 6. If the question intended for x to be an integer, there might be a mistake in the problem statement. Given the options, it's possible the question was intended to yield an integer result. Let's assume the question is exactly as written and the calculation is correct. The calculated value is x = (30)/(7). Since this is not among the options, I will state the calculated answer. The final answer is (30)/(7). Send me the next one 📸