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Solve for x: 4(3x + 2) + 3 = 35.

x = __

3 answers

To solve the equation \( 4(3x + 2) + 3 = 35 \), follow these steps:

  1. Distribute \( 4 \) into \( (3x + 2) \): \[ 4(3x) + 4(2) + 3 = 35 \] This simplifies to: \[ 12x + 8 + 3 = 35 \]

  2. Combine like terms on the left side: \[ 12x + 11 = 35 \]

  3. Subtract \( 11 \) from both sides to isolate the term with \( x \): \[ 12x = 35 - 11 \] Simplifying gives: \[ 12x = 24 \]

  4. Divide both sides by \( 12 \): \[ x = \frac{24}{12} \] Simplifying gives: \[ x = 2 \]

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

are you sure this is correct

Let's double-check the solution step by step to ensure accuracy.

The original equation is: \[ 4(3x + 2) + 3 = 35 \]

  1. Start by distributing the \(4\) into the parentheses: \[ 4 \cdot 3x + 4 \cdot 2 + 3 = 35 \] This simplifies to: \[ 12x + 8 + 3 = 35 \]

  2. Combine like terms on the left side: \[ 12x + 11 = 35 \]

  3. Subtract \(11\) from both sides: \[ 12x = 35 - 11 \] Simplifying gives: \[ 12x = 24 \]

  4. Divide both sides by \(12\): \[ x = \frac{24}{12} \] Simplifying gives: \[ x = 2 \]

The calculations confirm that the solution is indeed \(x = 2\). If you have any further questions or concerns, feel free to ask!