Solve for x

Question

: −4(3x+10)−2=54
.(1 point)
Responses

x=4
x equals 4

x=8
x equals 8

x=−4
x equals negative 4

x=−8

Answer 1

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

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

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

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

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

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

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