We read your photo as:

Solve for x: 2(3x+3) + 8(x+1) = 74

Mathematics

ScanSolve AI Answer

Answer

307\frac{30}{7}

Step-by-step solution

4 steps
  1. Expand the terms in the equation.

    2(3x+3)+8(x+1)=742(3x+3) + 8(x+1) = 74 6x+6+8x+8=746x + 6 + 8x + 8 = 74
  2. Combine like terms (xx terms and constant terms).

    (6x+8x)+(6+8)=74(6x + 8x) + (6 + 8) = 74 14x+14=7414x + 14 = 74
  3. Subtract 14 from both sides of the equation.

    14x+14−14=74−1414x + 14 - 14 = 74 - 14 14x=6014x = 60
  4. Divide both sides by 14 to solve for xx.

    x=6014x = \frac{60}{14} x=307x = \frac{30}{7}

    Looking at the options provided (A.3, B.4, C.5, D.6), none of them match 307\frac{30}{7}. Let me recheck the calculation.

    Rechecking Step 1:
    2(3x+3)=6x+62(3x+3) = 6x+6
    8(x+1)=8x+88(x+1) = 8x+8
    6x+6+8x+8=746x+6+8x+8 = 74 (Correct)

    Rechecking Step 2:
    6x+8x=14x6x+8x = 14x
    6+8=146+8 = 14
    14x+14=7414x+14 = 74 (Correct)

    Rechecking Step 3:
    14x=74−1414x = 74-14
    14x=6014x = 60 (Correct)

    Rechecking Step 4:
    x=6014=307x = \frac{60}{14} = \frac{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 xx is 307\frac{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≈4.2830/7 \approx 4.28.
    Option A is 3.
    Option B is 4.
    Option C is 5.
    Option D is 6.

    If the question intended for xx 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=307x = \frac{30}{7}.
    Since this is not among the options, I will state the calculated answer.

Was this helpful?

Try one yourself

A new problem that tests the same skill.

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp