solve for x.

4(3x + 2)+3=35

1 answer

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

  1. Start by distributing the \( 4 \) in front of the parentheses:

    \[ 4 \times 3x + 4 \times 2 + 3 = 35 \]

    This simplifies to:

    \[ 12x + 8 + 3 = 35 \]

  2. Now, combine the constant terms:

    \[ 12x + 11 = 35 \]

  3. Next, isolate the term with \( x \) by subtracting \( 11 \) from both sides:

    \[ 12x = 35 - 11 \]

    This simplifies to:

    \[ 12x = 24 \]

  4. Finally, divide both sides by \( 12 \) to solve for \( x \):

    \[ x = \frac{24}{12} = 2 \]

Thus, the solution is:

\[ \boxed{2} \]