Solve for x: 9x + 16 = 6x + 1.

Question

(1 point)
• 2=-4
• x= 3
• x=-5
0 x=6

Answer 1

To solve the equation \( 9x + 16 = 6x + 1 \), we can follow these steps:

1. Subtract \( 6x \) from both sides: \[ 9x - 6x + 16 = 1 \] This simplifies to: \[ 3x + 16 = 1 \]

2. Next, subtract 16 from both sides: \[ 3x = 1 - 16 \] This simplifies to: \[ 3x = -15 \]

3. Finally, divide both sides by 3: \[ x = \frac{-15}{3} \] Simplifying gives: \[ x = -5 \]

So the solution is \( x = -5 \). Therefore, the correct answer is:

x = -5.