What is the value of \( x \) in the equation \( 3x + 7 = 16 \)?

To find the value of ( x ) in the equation ( 3x + 7 = 16 ), we begin by isolating ( x ). First, we can eliminate the constant term on the left side by subtracting 7 from both sides of the equation:

[ 3x + 7 - 7 = 16 - 7

] which simplifies to: [ 3x = 9 ]

Next, we need to resolve for ( x ) by dividing both sides of the equation by 3:

[ x = \frac{9}{3} ] This simplifies to: [ x = 3 ]

Thus, the value of ( x ) is indeed 3, confirming that this answer is correct. This aligns with the goal of solving for ( x ) step by step through clear algebraic manipulation.