Question

Solve for x: -4(3x + 10) - 2 = 54.
A. x = -4
B. x = -8
C. x = 4
D. x = 8

Answer 1

are you sure this is correct

Answer 2

To solve the equation \(-4(3x + 10) - 2 = 54\), we can follow these steps:

1. Distribute \(-4\) to both terms inside the parentheses:
\[
-4(3x) - 4(10) - 2 = 54
\]
This simplifies to:
\[
-12x - 40 - 2 = 54
\]

2. Combine the constant terms on the left side:
\[
-12x - 42 = 54
\]

3. Add \(42\) to both sides to isolate the \(x\) term:
\[
-12x = 54 + 42
\]
\[
-12x = 96
\]

4. Now divide both sides by \(-12\):
\[
x = \frac{96}{-12}
\]
\[
x = -8
\]

Thus, the solution for \(x\) is \(-8\).

The correct answer is \(B. x = -8\).

Answer 3

Yes, let's verify the solution step by step again to ensure accuracy.

We start with the equation:

\[
-4(3x + 10) - 2 = 54
\]

**Step 1: Distribute -4**

\[
-4 \cdot 3x - 4 \cdot 10 - 2 = 54
\]
\[
-12x - 40 - 2 = 54
\]

**Step 2: Combine constants on the left side**

\[
-12x - 42 = 54
\]

**Step 3: Add 42 to both sides**

\[
-12x = 54 + 42
\]
\[
-12x = 96
\]

**Step 4: Divide by -12**

\[
x = \frac{96}{-12}
\]
\[
x = -8
\]

The calculation confirms that \(x = -8\) is correct.

So the answer remains:

**B. x = -8**.

Feel free to ask if you have more questions!