Final answer:
The value of x in the equation 3x - 8 = (8x + 4) / 2 is solved through a series of steps including distributing, combining like terms, and isolating x, which results in x being -10.
Step-by-step explanation:
To solve for the value of x in the equation 3x - 8 = (8x + 4) / 2, follow these steps:
- Multiply both sides of the equation by 2 to eliminate the fraction: 2(3x - 8) = 8x + 4.
- Distribute the 2 on the left side: 6x - 16 = 8x + 4.
- Subtract 8x from both sides to get all the x terms on one side: -2x - 16 = 4.
- Add 16 to both sides to isolate the x term: -2x = 20.
- Divide both sides by -2 to solve for x: x = -10.
The value of x is -10.