Final answer:
The value of x that is the solution of the equation 8x - 1 = 3x + 4 is 1.
Step-by-step explanation:
The given equation is 8x - 1 = 3x + 4. To find the value of x that is the solution of the equation, we need to isolate x on one side of the equation.
Subtracting 3x from both sides of the equation, we get 8x - 3x - 1 = 4. Simplifying, we have 5x - 1 = 4.
Next, we add 1 to both sides of the equation, resulting in 5x = 5. Finally, we divide both sides of the equation by 5 to solve for x. So, x = 1. Therefore, the value of x that is the solution of the equation is 1.