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

Answer 1

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

1. Start by isolating the variable \(x\). First, subtract \(6x\) from both sides of the equation: \[ 9x - 6x + 16 = 1 \] 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 \(3\) to solve for \(x\): \[ x = \frac{-15}{3} \] This simplifies to: \[ x = -5 \]

Thus, the solution is: \[ \boxed{-5} \]