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What is the solution to the following equation?

4(3x − 6) + 15 = 27

Group of answer choices

2

3

4

1 answer

To solve the equation \( 4(3x - 6) + 15 = 27 \), follow these steps:

  1. Distribute the \( 4 \) in the term \( 4(3x - 6) \): \[ 4 \cdot 3x - 4 \cdot 6 = 12x - 24 \]

  2. Substitute back into the equation: \[ 12x - 24 + 15 = 27 \]

  3. Combine like terms: \[ 12x - 9 = 27 \]

  4. Add \( 9 \) to both sides to isolate the term with \( x \): \[ 12x = 27 + 9 \] \[ 12x = 36 \]

  5. Divide both sides by \( 12 \): \[ x = \frac{36}{12} \] \[ x = 3 \]

So, the solution to the equation is \( x = 3 \).

The answer choice is: 3