Solve for x : 4(3x+2)+3=35 .(1 point) x=

1 answer

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

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

  2. Combine like terms: \[ 12x + 11 = 35 \]

  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: \[ x = 2 \]

So, the solution is: \[ \boxed{2} \]