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

Question

Responses

x=6
x equals 6

x=3
x equals 3

x=−5
x equals negative 5

x=−4

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: \[ 3x + 16 - 16 = 1 - 16 \] This simplifies to: \[ 3x = -15 \]

3. Finally, divide both sides by \( 3 \): \[ x = -5 \]

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

So the correct answer is: x = −5.