Answer:
To solve the exponential equation 2(1+2x) = 8, follow these steps:
1. Start by simplifying the equation:
2(1+2x) = 8
Distribute the 2 on the left side of the equation:
2 + 4x = 8
2. Now, isolate the variable term (4x) by subtracting 2 from both sides of the equation:
2 + 4x - 2 = 8 - 2
This simplifies to:
4x = 6
3. Finally, solve for x by dividing both sides by 4:
(4x)/4 = 6/4
This simplifies to:
x = 3/2
So, the solution to the equation 2(1+2x) = 8 is x = 3/2.
Explanation: