Question

Solve the equation.x - 5 (x - 1 )= x - (2x - 3)

Answer 1

`\begin{gathered} x-5\mleft(x-1\mright)=x-\mleft(2x-3\mright) \\ x-5\mleft(x-1\mright)-x=x-\mleft(2x-3\mright)-x \\ -5\mleft(x-1\mright)=-\mleft(2x-3\mright) \\ -5x+5=-2x+3 \\ -5x+5-5=-2x+3-5 \\ -5x=-2x-2 \\ -5x+2x=-2x-2+2x \\ -3x=-2 \\ (-3x)/(-3)=(-2)/(-3) \\ x=(2)/(3) \end{gathered}`