Chapter 5 - Section 5.6 - Solving Equations Containing Decimals - Exercise Set - Page 387: 20

The solution is 34

1.5x+2 -1.2x= 12.2 simplify 1.5x -1.2x 0.3x +2 =12.2 Subtract 2 from both sides 0.3x +2-2 =12.2 -2 0.3x =10.2 Divide by 0.3 both sides $\frac{0.3x}{0.3}$=$\frac{10.2}{0.3}$ x=$\frac{102}{3}$ x=34 The solution is 34 Check 1.5x +2 -1.2x =12.2 Replace x with 34 1.5$\times$34 +2 -1.2$\times$34 =12.2 51 +2 -40,8 =12.2 53,0 - 40.8=12.2 12.2=12.2