Solve the following equation. justify each step 0.2x+3.1-2.1x=0.3 (x-5) + 0.2

1.) Distribution 0.3 (x-5) = 0.3x-1.5

2.) Combine like terms 0.2x and - 2.1x; - 1.5 and 0.2

-1.9x + 3.1 = 0.3x - 1.3

3.) Add 1.3 to both sides

-1.9x + 4.4 = 0.3x

4.) Add 1.9x to both sides

4.4 = 2.2x

5.) Divide both sides by 2.2 to isolate the variable.

x=2