Question

olve for x
: −4(3x+10)−2=54
.(1 point)
Responses

x=8
x equals 8

x=−4
x equals negative 4

x=−8
x equal negative 8

x=4

Answer 1

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

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

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

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

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

So, the solution is:
\[
\boxed{x = -8}
\]