Final answer:
To solve the equation 5x = 17 - 10z, isolate x by performing the same operation on both sides. Add 10z to both sides, then divide by 5. The correct answer is x = (17 - 10z) / 5.
Step-by-step explanation:
To solve the equation 5x = 17 - 10z, we want to isolate x on one side of the equation.
We can do this by performing the same operation on both sides. In this case, we want to get rid of the -10z on the right side of the equation, so we can add 10z to both sides. Doing this, we get 5x + 10z = 17.
Now, we can divide both sides of the equation by 5 to solve for x. So, the final step is x = (17 - 10z) / 5. Therefore, the correct answer is a. x = (17 - 10z) / 5.