To solve for \( x \) in the equation \( 4(3x + 2) + 3 = 35 \), follow these steps:
-
Distribute the 4: \[ 4 \times 3x + 4 \times 2 = 12x + 8 \] So the equation becomes: \[ 12x + 8 + 3 = 35 \]
-
Combine like terms: \[ 12x + 11 = 35 \]
-
Subtract 11 from both sides: \[ 12x = 35 - 11 \] \[ 12x = 24 \]
-
Divide both sides by 12: \[ x = \frac{24}{12} \] \[ x = 2 \]
Thus, the solution for \( x \) is: \[ \boxed{2} \]