Let's simplify the equation step by step.
Starting with the original equation: \[ 8x - 3x - 1 = -2 + 16 \]
First, simplify the left side: \[ (8x - 3x) - 1 = 5x - 1 \] Now the equation becomes: \[ 5x - 1 = -2 + 16 \]
Next, simplify the right side: \[ -2 + 16 = 14 \] So now we have: \[ 5x - 1 = 14 \]
Next, add 1 to both sides to isolate the term with \( x \): \[ 5x = 14 + 1 \] \[ 5x = 15 \]
Now, divide both sides by 5: \[ x = \frac{15}{5} \] \[ x = 3 \]
There is one solution to the equation.
The answer is One.