solve the following equation. justify each step 0.2x+3.1-2.1x=0.3(x-5)+0.2
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Given:
0.2x+3.1-2.1x=0.3(x-5)+0.2
Solve the equation:
In order to solve the equation, we simply combine first all the values of x.
0.2x+3.1-2.1x=0.3(x-5)+0.2
-1.9x + 3.1 = 0.3x - 1.5 + 0.2
-1.9x + 3.1 = 0.3x - 1.3
Transpose the values of -1.9x and -1.3 to their opposite sides. it must be taken to note that when transposing a number, the sign changes.
3.1 + 1.3 = 0.3x + 1.9x
4.4 = 2.2x
Divide both sides by 2.2 in order to cancel out 2.2x
2.2x /2.2 =4.4/2.2
x = 2
Final answer:
x = 2