Answer: To solve this equation, we need to get x on one side of the equation and all the other terms on the other side.
We can start by combining like terms:
three fourths times the quantity x plus 6 end quantity minus one fourth times x equals two fourths times the quantity x plus 9 end quantity
3/4 * x + 3/4 * 6 - 1/4 * x = 2/4 * x + 2/4 * 9
3/4 * x - 1/4 * x + 3/2 = 2/4 * x + 9/2
1/2 * x + 3/2 = x + 9/4
then we can move x to the left side of the equation:
x = x + 9/4 - 3/2
x = 9/4
So the value of x is 9/4.
The answer is A: x = 1.
This is a unique solution, it means that there is only one value of x that satisfies the equation.
Explanation: