Final answer:
To solve the equation −3x = 33, divide both sides by −3 resulting in x = −11 after simplifying.
Step-by-step explanation:
To solve for x in the equation −3x = 33, we need to isolate x on one side of the equation. This can be achieved by dividing both sides of the equation by −3. When we divide a negative number by another negative number, the result is positive, which is one of the rules of multiplication and division signs.
Here is the step-by-step solution:
- Start with the original equation: −3x = 33.
- Divide both sides of the equation by −3 to isolate x: x = 33 / (−3).
- Simplify the right side of the equation: x = −11.
The solution to the equation is x = −11.