The given function is:

$y = -3x + 2$

We need to find the value of $x$ when $y = 8$.

Step-by-step solution:

1. Substitute $y = 8$ into the equation:

$8 = -3x + 2$

2. Subtract 2 from both sides to isolate the term with $x$:

$8 - 2 = -3x$

$6 = -3x$

3. Divide both sides by $-3$ to solve for $x$:

$x = \frac{6}{-3} = -2$

Thus, the value of $x$ is $-2$.

Would you like further details or have any questions?

Related questions:

1. What would the value of $x$ be if $y = 5$ for the same equation?
2. How do you graph the function $y = -3x + 2$?
3. What is the slope and y-intercept of the equation $y = -3x + 2$?
4. How do you check if $x = -2$ is correct in the original equation?
5. How do you solve for $x$ if the equation was $y = 3x + 2$?

Tip:

Remember, in linear equations like this, the slope (here $-3$) determines how steep the line is, and the y-intercept (here $2$) tells you where the line crosses the y-axis.