Question

Solve for x: -2(3x - 15) - 4 = 56.
x = __

Answer 1

are you sure this is correct

Answer 2

To solve the equation \(-2(3x - 15) - 4 = 56\), follow these steps:

1. Distribute the -2:

\[
-2 \cdot 3x + -2 \cdot -15 - 4 = 56
\]

This simplifies to:

\[
-6x + 30 - 4 = 56
\]

2. Combine the constants on the left side:

\[
-6x + 26 = 56
\]

3. Subtract 26 from both sides to isolate the term with \(x\):

\[
-6x = 56 - 26
\]

This simplifies to:

\[
-6x = 30
\]

4. Now, divide both sides by -6:

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

This gives:

\[
x = -5
\]

Thus, the solution is:

\[
\boxed{-5}
\]

Answer 3

Let's double-check the solution step by step:

We start with the equation:

\[
-2(3x - 15) - 4 = 56
\]

1. Distribute the \(-2\):

\[
-2 \cdot 3x + -2 \cdot -15 - 4 = 56
\]

This simplifies to:

\[
-6x + 30 - 4 = 56
\]

2. Combine the constants on the left side:

\[
-6x + 26 = 56
\]

3. Subtract 26 from both sides:

\[
-6x = 56 - 26
\]

This simplifies to:

\[
-6x = 30
\]

4. Finally, divide both sides by -6:

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

which simplifies to:

\[
x = -5
\]

The calculation is indeed correct. The solution is:

\[
\boxed{-5}
\]

This confirms that \(x = -5\) is the correct answer.