Solve for x

Question

: 9x+16=6x+1
.(1 point)
Responses

x=−5
x equals negative 5

x=3
x equals 3

x=−4
x equals negative 4

x=6

Answer 1

To solve the equation \( 9x + 16 = 6x + 1 \), we can first isolate \( x \).

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

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

3. Now, divide both sides by 3: \[ x = -5 \]

So, the solution is: \[ x = -5 \]

Thus, the correct response is: x=−5 (or x equals negative 5).