Solve for x : 9x+16=6x+1 .(1 point) Responses x=−5 x equals negative 5 x=6 x equals 6 x=3 x equals 3 x=−4

Answer 1

To solve the equation \( 9x + 16 = 6x + 1 \):

1. Start by isolating the variable \( x \) on one side of the equation.

2. Subtract \( 6x \) from both sides:

   \[ 9x - 6x + 16 = 1 \]

   This simplifies to:

   \[ 3x + 16 = 1 \]

3. Next, subtract 16 from both sides:

   \[ 3x = 1 - 16 \]

   This simplifies to:

   \[ 3x = -15 \]

4. Now, divide both sides by 3:

   \[ x = -5 \]

So, the solution is \( x = -5 \).

The correct responses are \( x = -5 \) or \( x \text{ equals negative } 5 \).