Solve for x

Question

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

x=3
x equals 3

x=6
x equals 6

x=−5
x equals negative 5

x=−4

Answer 1

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

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

2. Subtract \(16\) from both sides: \[ 3x = 1 - 16 \] This simplifies to: \[ 3x = -15 \]

3. Divide both sides by \(3\): \[ x = -5 \]

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

The correct response is: x equals negative 5.