Algebra Demystified 2nd Ed

202 algebra De mystif ieD

✔SOLUTIONS

0.3(x − 2) + 0.1 = 0.4
Multiply both sides by 10^1 = 10

1003 2011004 1003 210014

[.().] (.) (.)( )(.) [

x x

−+ = −+ = 11003 214 3214 3614 354 55 3

(.)]( ) ()

x x x x

−+= −+= −+= −= ++ xx

x

=

9 9 3 3

0.12 − 0.4(x + 1) + x = 0.5x + 2
Multiply both sides by 10^2 = 100.

100012041 10005 2 100012 1000

[. .( )] (. ) (. )[

−++= + −

xx x .. ()](.) () [(. )](

41100 10005 1002 12 10004

xxx x

++ =+ −+ 11 100 50 200 12 40 1 100 50 200 12 40 4

) ()

+=+ −++=+ −−

xx xxx x 00 100 50 200 60 28 50 200 50 50 10 28 2

+=+ −= + −− −=

xx xx xx x 000 28 28 10 228 228 10

228

++ =

== .

x