Question

Solve Multi-Step Linear Equations Quick Check
4 of 54 of 5 Items




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

x=−8
x equal negative 8

x=8
x equals 8

x=−4
x equals negative 4

x=4

Answer 1

To solve the equation \(-4(3x + 10) - 2 = 54\), let's go through the 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:
\[
-12x - 42 = 54
\]

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

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

Therefore, the solution is:
\[
\boxed{-8}
\]

So the correct response is \(x = -8\).