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Solve for x.

4(3x + 2) = 32
x = __

3 answers

To solve for \( x \) in the equation \( 4(3x + 2) = 32 \), follow these steps:

  1. First, distribute the 4 on the left side of the equation: \[ 4 \cdot 3x + 4 \cdot 2 = 32 \] This simplifies to: \[ 12x + 8 = 32 \]

  2. Next, subtract 8 from both sides to isolate the term with \( x \): \[ 12x + 8 - 8 = 32 - 8 \] This simplifies to: \[ 12x = 24 \]

  3. Finally, divide both sides by 12 to solve for \( x \): \[ x = \frac{24}{12} = 2 \]

Thus, the solution is: \[ x = 2 \]

are you sure this is correct

Yes, let's go through the steps again to confirm the solution is correct.

We start with the original equation:

\[ 4(3x + 2) = 32 \]

  1. Distributing the 4: \[ 4 \cdot 3x + 4 \cdot 2 = 32 \] This gives us: \[ 12x + 8 = 32 \]

  2. Subtracting 8 from both sides: \[ 12x + 8 - 8 = 32 - 8 \] Simplifying this results in: \[ 12x = 24 \]

  3. Dividing both sides by 12: \[ x = \frac{24}{12} = 2 \]

So the final answer is indeed \( x = 2 \). This solution is correct.