Final answer:
To solve the given equation, we use the distributive property, combine like terms, and isolate the variable terms. However, we find a contradiction, indicating that there is no solution.
Step-by-step explanation:
To solve the given equation:
A (4x+6)-(3x - 9) = x + 2
We first apply the distributive property to remove the parentheses:
4x+6-3x+9 = x+2
Combine like terms:
x+15 = x+2
Next, we want to isolate the variable terms on one side of the equation. We can do this by subtracting x from both sides:
x-x+15 = x-x+2
Which simplifies to:
15 = 2
This is a contradiction since 15 does not equal 2. Therefore, there is no solution to the given equation.
Learn more about Solving linear equations with fractions and variables on both sides