Algebra: How to solve the Equations containing decimals

Equations containing decimals are equations with fractions. hence the solution of decimal equations is similar to that of fractional equations with this difference-in decimal equation the multiplier of both members is that power
of ten that will clear the equations of its decimal.

Example1.
Solve for x:                                 .3x + 5 = .2x
Multiplying both members          
of the equation by 10,                 3x + 50 = 2x
                                                  x = -50

Check                                     .3x(-50) + 5 = .2(-50)
                                              -15+5  = -10
                                               -10 = -10

Example no 2.                                      Solve for y in the equation
                                                         .5y/3 - .18/4 = .1y/6
Clear the equation of decimals by multiplying both members by 100
50y/3 - 18/4 = 10y/6
Clear the equation of fractions by multiplying both members by 12, the LCD
200y - 54 = 20y
180y = 54
y = 54/180 = .3

check:
.5y/3 - .18/4 = .1y/6
(.5(.3))/3 -.18/4  = (.1(.3))/6
.05-.045 = 0.005
.005 = .005