Answer: a = x + b + 2ab.
Step-by-step explanation:
1. Start with the given equation: x = a + b - 2ab.
2. To isolate the variable a, we can move the other terms to the opposite side of the equation.
Subtract b from both sides: x - b = a + b - 2ab - b.
Simplify the right side: x - b = a - 2ab - b.
3. Combine like terms on the right side: x - b = a(1 - 2b) - b.
4. Distribute the a to simplify further: x - b = a - 2ab - b.
5. Move the terms without a to the right side: x - b + 2ab + b = a.
6. Combine like terms: x + b + 2ab = a.
7. Now we have isolated the variable a. So the final answer is: a = x + b + 2ab.
