Final Answer:
The value of x that satisfies the equation 6.8x + 6 - 7.8x = 2 is x = -0.2.
Step-by-step explanation:
To solve the equation 6.8x + 6 - 7.8x = 2, we follow these steps:
1. First, we combine the terms involving x:
6.8x - 7.8x = -1.6x
2. Next, we simplify the expression:
-1.6x + 6 = 2 (subtracting 6 from both sides)
3. Now, we isolate x by subtracting 6 from both sides:
-1.6x = -4
4. Finally, we divide both sides by -1.6 to solve for x:
x = -0.25 (dividing both sides by -1.6)
Rounded to two decimal places, the answer is x = -0.20.