Question

How many solutions does the equation 4x + 2(x – 5) = 3(2x – 4) have?

A. no solution
B. exactly one solution
C. at least two solutions
D. infinitely many solutions

Answer 1

To solve the equation, let's simplify both sides:

4x + 2(x – 5) = 3(2x – 4)
4x + 2x – 10 = 6x – 12
6x – 10 = 6x – 12

Now, let's subtract 6x from both sides:
-10 = -12

This is not a true statement, which means there is no solution to the equation.

Therefore, the answer is:

A. no solution