Solve the equation x – 5 = 0.1(x + 5) for x

Step-by-step explanation:

x - 5 = 0.1(x +5)

x - 5 = 0.1x + 5*0.1

x -5 = 0.1x + 0.5 {Add 5 to both sides}

  x = 0.1x + 0.5 + 5

  x = 0.1x + 5.5

x -0.1x = 5.5      {subtract 0.1x from both sides}

  0.9x =5.5         {Divide both sides by 0.9}

        x = 5.5/0.9

       x = 55/9

       x = 6 1/9

Step-by-step explanation:

x - 5 = 0.1(x + 5)           {multiply both sides by 10}

10x - 50 = x + 5            {subtract x from both sides}

9x - 50 = 5                   {add 50 to both sides}

9x = 55                         {divide both sides by 9}

x = ⁵⁵/₉ = 6¹/₉