Final answer:
To solve the equation 6x + 4 = 4x - 2, we isolate the variable x and simplify the equation step by step to find that x = -3, which is option b.
Step-by-step explanation:
To solve the equation 6x + 4 = 4x - 2, we must find the value of x that makes the equation true. Follow these steps:
- Subtract 4x from both sides of the equation: 6x + 4 - 4x = 4x - 2 - 4x which simplifies to 2x + 4 = -2.
- Next, subtract 4 from both sides: 2x + 4 - 4 = -2 - 4, which simplifies to 2x = -6.
- Finally, divide both sides by 2 to find x: 2x / 2 = -6 / 2, which simplifies to x = -3.
Therefore, the solution to the equation is x = -3, which corresponds to option b.