Question

Solve for x.
-2(3x - 15) = 60
x = __

Answer 1

are you sure this is correct

Answer 2

To solve the equation \(-2(3x - 15) = 60\), we start by distributing the \(-2\) on the left side:

\[
-2 \cdot 3x + -2 \cdot (-15) = 60
\]

This simplifies to:

\[
-6x + 30 = 60
\]

Next, we isolate the term with \(x\) by subtracting \(30\) from both sides:

\[
-6x = 60 - 30
\]
\[
-6x = 30
\]

Now, we divide both sides by \(-6\):

\[
x = \frac{30}{-6}
\]
\[
x = -5
\]

Thus, the solution is:

\[
x = -5
\]

Answer 3

Let's double-check the solution step by step for the equation \(-2(3x - 15) = 60\).

1. Start with the original equation:
\[
-2(3x - 15) = 60
\]

2. Distribute the \(-2\):
\[
-2 \cdot 3x + -2 \cdot (-15) = 60
\]
This results in:
\[
-6x + 30 = 60
\]

3. Next, isolate the term with \(x\) by subtracting \(30\) from both sides:
\[
-6x = 60 - 30
\]
This simplifies to:
\[
-6x = 30
\]

4. Now, divide both sides by \(-6\):
\[
x = \frac{30}{-6}
\]
This simplifies to:
\[
x = -5
\]

The calculations are correct, and the final answer is indeed:
\[
x = -5
\]

If you have any further questions or need additional clarification, feel free to ask!