Question

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

x=4
x equals 4

x=−4
x equals negative 4

x=8
x equals 8

x=−8

Answer 1

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

1. Distribute \(-4\) into the parentheses:
\[
-4(3x) - 4(10) - 2 = 54
\]
\[
-12x - 40 - 2 = 54
\]

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

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

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

Therefore, the solution is \(x = -8\).

The correct answer is: **x = −8**.