Solve for x. Show each step of the solution.

2.5 (10 - x) + 21 = 84 - 3.5 (3x + 20)

Solve the first part of the equation

2.5 X 10 = 25

2.5 X - x = - 2.5x

+ 21

which all added together equals - 2.5x + 46

Now for the second part of the equation

- 3.5 X 3x = - 10.5x

- 3.5 X 20 = - 70

+ 84

which all added together gets you - 10.5x + 14

once you have both parts of the two sides solved, you have to start subtracting from each sides

- 2.5x + 46 = - 10.5x + 14

- 46 + 46

- 2.5x = - 10.5x + 60

-10.5x + 10.5x

-13x = 60

60 : - 13x

x = - 4.61