Question

00:00 How many solutions does the equation below have? 2x – 7 + 19 = 6x - 4x + 12 No solution, 1 solution, 2 solutions, Infinitely many solutions

Answer 1

`\begin{gathered} 2x-7+19=6x-4x+12 \\ 2x-12=2x+12 \\ 2x-2x-12=12 \\ -12=12 \\ 0=12+12 \\ 0=24 \end{gathered}`

The last equallity is false! Because 0 IS NOT equal to 24, and thus the initial equation has no solution!!!