Final answer:
The missing number in the equation 5x + 4 - 3x = x + 4 that would result in no solution is any number that satisfies the equation when both sides are simplified.
Step-by-step explanation:
The missing number in the equation 5x + 4 - 3x = x + 4 that would result in no solution is any number that satisfies the equation when both sides are simplified. To determine if there is no solution, we need to isolate the variable x on one side of the equation. Let's simplify the equation:
5x + 4 - 3x = x + 4
Combining like terms, we have:
2x + 4 = x + 4
Now, let's isolate the variable x:
2x - x = 4 - 4
x = 0
So, when x = 0, the equation becomes:
0 = 0
This equation is true for all values of x, which means there is an infinite number of solutions. Therefore, there is no missing number that would result in no solution for this equation.
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