Question

Determine whether the following has one solution, no solution, or many solutions.3(3 - x) + 5x = 2(x + 2)

Answer 1

Given the equation :

$3(3-x)+5x=2(x+2)$

Solve for x:

$\begin{gathered} 3\cdot3-3x+5x=2x+2\cdot2 \\ 9+2x=2x+4 \\ 9-4=2x-2x \\ 5=0 \end{gathered}$

The last result means that the given equation has no solution