Question

2(2x-3)-3(x-1)=5(x-1)+2

Answer 1

$\displaystyle 2(2x-3)-3(x-1)=5(x-1)+2\\ \\ 4x-6-3x+3=5x-5+2\\ \\4x-3x-5x=-5+2+6-3\\ \\ -4x=0 \Rightarrow x=0 \\ \\ Verificare : 2(2 \cdot 0-3)-3(0-1)=5(0-1)+2 \\ \\ ~~~~~~~~~~~~~~~~~~~2 \cdot (-3)-3 \cdot (-1)=5 \cdot (-1)+2\\ \\ ~~~~~~~~~~~~~~~~~~~-6+3=-5+2\\ \\ ~~~~~~~~~~~~~~~~~~~-3=-3 ~(A) \\ \\ \boxed{x=0}$