solve for x: 9x + 16 = 6x + 1

Answer 1

To solve for x, we need to isolate x on one side of the equation.

9x + 16 = 6x + 1

First, we want to get the x terms on one side of the equation by subtracting 6x from both sides:

9x - 6x + 16 = 6x - 6x + 1

This simplifies to:

3x + 16 = 1

Next, we want to get rid of the constant term on the side with x by subtracting 16 from both sides:

3x + 16 - 16 = 1 - 16

This simplifies to:

3x = -15

Lastly, we divide by 3 to solve for x:

3x/3 = -15/3

x = -5

Therefore, the solution to the equation 9x + 16 = 6x + 1 is x = -5.