What is x?

3x - 4 + 1 = - 2x - 5 + 5x

3x-4+1 = - 2x-5+5x

3x-5x+2x=4-1+5

- 2x+2x=8

0x=8

x=8/0

x=infinity

3x - 4 + 1 = - 2x - 5 + 5x

First, simplify 3x - 4 + 1 to 3x - 3. / Your problem should look like: 3x - 3 = - 3x - 5 + 5x

Second, simplify - 2x - 5 + 5x to 3x - 5. / Your problem should look like: 3x - 3 = 3x - 5

Third, cancel 3x on both sides. / Your problem should look like: - 3 = - 5

Fourth, since - 3 = - 5 is false, there is no solution.

Answer: No solution