Question

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

Answer 1

x = ⁵⁵/₉ = 6¹/₉

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

Answer 2

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