How to Solve the Equation 15 = (x+2)/-3

To solve the equation $$15 = \frac{x+2}{-3}$$, we need to isolate the variable x. Let's break it down step by step to ensure clarity.

First, the equation shows that $$15$$ is equal to $$\frac{x + 2}{-3}$$. To eliminate the fraction, we can multiply both sides by -3. This operation gives us:

$$15 \times -3 = x + 2$$

Calculating the left side, we get:

$$-45 = x + 2$$

Now, our goal is to isolate x. To do this, we need to get rid of the +2 on the right side. We can achieve this by subtracting 2 from both sides of the equation:

$$-45 - 2 = x$$

Performing the subtraction results in:

$$-47 = x$$

Thus, we find that:

$$x = -47$$

It's always a good practice to check our work. We can substitute $$x = -47$$ back into the original equation to verify:

$$15 = \frac{-47 + 2}{-3}$$

This simplifies to:

$$15 = \frac{-45}{-3}$$

And since $$\frac{-45}{-3} = 15$$, our solution is confirmed to be correct.

Understanding how to manipulate equations like this is crucial in mathematics. Equations are often used in real-world applications, from calculating expenses to understanding scientific concepts. Mastering these skills can greatly enhance your problem-solving abilities.

Remember, practice is key to becoming proficient in solving equations. Try similar problems by changing the numbers or the format of the equation to reinforce your understanding. With time and effort, you’ll find that these types of problems become easier and more intuitive. Keep up the great work, and don’t hesitate to reach out for further clarification if needed!