Algebra Demystified 2nd Ed

Chapter 7 linear equaTionS 201

Solve the equation by first clearing the decimal.

x – 0.11 = 0.2x + 0.09

We begin by multiplying each side of the equation by 100 because there
are at most two digits behind the decimal points.

xx xx x

−=+ −= + −

01102009 100 011 10002 009 100

... (.)(..) 1100011 10002 100009 100 11 20 9 20

(.)(=+.) (.) −= + −

x xx x −− −= ++ =

=

20 80 11 9 11 11 80 20 20 80 1 4

x x

x

x or0.25 ((Normally,decimalsolutionsare giveninequatiionsthathave decimalsinthem.)

PRACTICE
Solve for x after clearing the decimal. If the solution is a fraction, convert
the fraction to a decimal.

0.3(x − 2) + 0.1 = 0.4

0.12 − 0.4(x + 1) + x = 0.5x + 2

0.015x − 0.01 = 0.025x + 0.2

0.24(2x − 3) + 0.08 = 0.6(x + 8) − 1

0.01(2x + 3) − 0.003 = 0.11x

PRACTICE
Solve for
the fraction to a decimal.

PRACTICE
Solve for