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

Question

Responses

x=−4
x equals negative 4

x=−8
x equal negative 8

x=4
x equals 4

x=8
x equals 8

Answer 1

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

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

2. Combine like terms: \[ -12x - 42 = 54 \]

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

4. Divide by \(-12\) to solve for \(x\): \[ x = \frac{96}{-12} \] \[ x = -8 \]

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

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