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Solve for x

: 4(3x+2)+3=35
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1 answer

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

  1. Distribute the \( 4 \) across the terms inside the parentheses:

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

    This simplifies to:

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

  2. Combine the constant terms on the left-hand side:

    \[ 12x + 11 = 35 \]

  3. Next, isolate \( 12x \) by subtracting \( 11 \) from both sides:

    \[ 12x = 35 - 11 \]

    This results in:

    \[ 12x = 24 \]

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

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

    Simplifying this gives:

    \[ x = 2 \]

Therefore, the solution is:

\[ \boxed{2} \]