Question

3x - 2x + 4 = 5x - 4x - 8
Responses
A 3
B 6
C -3
D no solution
E infinitely many solutions

Answer 1

To solve the equation \(3x - 2x + 4 = 5x - 4x - 8\), we first simplify both sides.

On the left side:
\[
3x - 2x + 4 = x + 4
\]

On the right side:
\[
5x - 4x - 8 = x - 8
\]

Now the equation simplifies to:
\[
x + 4 = x - 8
\]

Next, we will eliminate \(x\) from both sides by subtracting \(x\):
\[
4 = -8
\]

Since this is a false statement (4 does not equal -8), the equation has no solution.

Thus, the correct response is:
**D no solution**.