To solve for $x$ in the equation:

$-7 = 5 - 3x$

follow these steps:

1. Isolate the term with $x$: $-7 - 5 = -3x$ Simplifying the left side: $-12 = -3x$

2. Solve for $x$ by dividing both sides by $-3$: $x = \frac{-12}{-3}$ $x = 4$

So, the value of $x$ is 4.

Would you like more details on these steps, or do you have further questions?

Here are some related questions to explore further:

1. How would you verify the solution by substituting $x$ back into the equation?
2. What if the equation had a positive coefficient with $x$ (e.g., $-7 = 5 + 3x$)?
3. How would the steps change if there were fractions in the equation?
4. Can you create a similar equation where $x$ is negative?
5. How would you solve for $x$ if the constant term were on the right side instead of the left?

Tip: Always check your solution by substituting it back into the original equation.