We are given equation : 3(x + 4) = 3x + 4.
We need to find the number of solutions for the given equation.
Let us solve the equation to get the number of solutions of the given equation.
3(x + 4) = 3x + 4
First step is to distribute 3 over (x+4) to remove the parenthesis.
We get
3x+12 = 3x +4.
Now, we need to get rid 3x from right side.
Subtracting 3x form both sides, we get
3x-3x+12 = 3x-3x +4.
12 = 4
But we can see that 12 =4 is not true.
So, there would not be any solution of the given equation.
Therefore, correct option is A) no solution .