Solve for x.

-2(3x - 15) = 60
x = __

3 answers

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:

\[ x = -5 \]

are you sure this is correct

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!