Solve for x

Question

: −4(3x+10)−2=54
.(1 point)
Responses

x=−8
x equal negative 8

x=−4
x equals negative 4

x=4
x equals 4

x=8

Answer 1

To solve the equation \(-4(3x + 10) - 2 = 54\), we can 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 on the left side: \[ -12x - 42 = 54 \]

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

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

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

Therefore, the correct response is x=−8 or x equals negative 8.