Solve the equation. -9x+1=-x+17 x=-8 x=-2 x=2 x=8

The value of the variable x for the provided equation  –9x 1 = –x 17 when it is solved, is -2. Option 2 is correct.What is the solution of equation?The solution of an equation is the value of the variable of the equation, for which the equation is satisfied. The equation given in the problem is,[tex]-9x +1 = -x +17\\[/tex]To solve this equation, take the terms of variable x left side of the equation and constant term other side,[tex]-9x +x = 17-1\\-8x=16[/tex]Divide both side of the equation with number 8 as,[tex]\dfrac{-8x}{8}=\dfrac{16}{8}\\-x=2\\x=-2[/tex]Hence, the value of the variable x for the provided equation  –9x 1 = –x 17 when it is solved, is -2. Option 2 is correct.Learn more about the solution of the equation here;