Algebra Demystified 2nd Ed

190 algebra De mystif ieD

EXAMPLES

Solve the equation.

2(x − 3) + 7 = 5 x − 8

2375 8

2675 81

21581

2

()

 ()

 ()

xx

xx

xx

x

−+=−

−+=−

+= −

−

 ( )

−

=−

++

=

2

13 82

88

93

x

x

x ()

()

2

9

3

3

3

4

3

=

=

x

x

Let us see if x = 3 makes the original equation true.

23 3753 8

20 7158

() ()

()

?

?

−+=−

+= −

777 ==Thisisatruestatement,soix 3 sthesoluution.

Solve the equation.

3(2x − 1) − 2 = 10 − (x + 1)

32 1210 1

6321011

659

() ()

 ()

xx

xx

xx

−−=−+

−−=−−

−=− ()

()

1

2

759

55

++

−=

++

xx

x

 ( )

              ( )

2

714

7

7

14

7

4

2

x

x

x

=

=

=

EXAMPLES

Solve the equation.

2(

EXAMPLES

Solve the equation.