Question

Solve: 3x - 2x + 4 = 5x - 4x - 8 A)3 B)6 C)-3 D)no solution

Answer 1

3x - 2x + 4 = 5x - 4x - 8

x + 4 = x - 8

4 = - 8 => D)no solution

Answer 2

3x - 2x + 4 = 5x - 4x - 8

First, let's focus on the left side of the problem (3x - 2x + 4). Let's subtract 3x - 2x which will get us 1, and since a variable by itself is considered 1, we can just put the variable.
$1 + 4 = 5x - 4x - 8$

Second, now let's focus on the right side of the problem (5x - 4x - 8). Subtract 5x - 4x to once again get 1. Replace it with the variable and leave the rest.
$x = 4 = x - 8$

Third, we can now cancel out x on each side. This will leave us with 4 = -8, which is false, meaning that there is no solution to this problem.

$\fbox {D) No Solution}$