Solve for x: -4 (3x + 10) - 2 = 54.

Question

(1 point)
•x=-8
•x= 4
0 x= 8
〇 =-4

Answer 1

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

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

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

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

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

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

The correct answer is: •x = -8