Consider the equation 7x − 6 + 3 = 5x + 2x + 5.
Which BEST describes the number of solutions for the given equation?
Responses
A one solutionone solution
B two solutionstwo solutions
C infinitely many solutionsinfinitely many solutions
D no solution
To determine the number of solutions for the given equation, we can simplify both sides of the equation.
Starting with the left side of the equation:
7x - 6 + 3 = 7x - 3
Simplifying the right side of the equation:
5x + 2x + 5 = 7x + 5
Now, we can rewrite the equation as:
7x - 3 = 7x + 5
If we subtract 7x from both sides, we get:
-3 = 5
Since the equation -3 = 5 is not true, there is no solution to the given equation.
Therefore, the correct answer is D) no solution.