Question

Resolva as equações abaixo:
a)4x-1 = 3( x - 1)

b)3( x -2) = 2x - 4

c)2( x - 1) = 3x + 4

d)3( x - 1) - 7 =15

e)7( x - 4) = 2x - 3

f)3( x - 2) = 4( 3 - x)

Answer 1

a) $4x - 1 = 3 ( 3-1)$
    $4x -1 = 3x -3$
    $4x - 3x = -3 +1$
    $x = -2$

b) $3(x - 2) = 2x - 4$
    $3x - 6 = 2x - 4$
    $3x - 2x = -4 +6$
    $x = 2$

c) $2( x - 1 ) = 3x +4$
    $2x - 2 = 3x + 4$
    $2x - 3x = 4 + 2$
    $x = -6$

d) $3( x - 1 ) - 7 = 15$
    $3x - 3 - 7 = 15$
    $3x - 10 = 15$
    $3x = 15 + 10$
    $3x = 25$
    $x = \frac{25}{3}$

e) $7 ( x-4) = 2x - 3$
    $7x - 28 = 2x - 3$
   $7x - 2x = -3 + 28$
    $5 x = 25$
    $x = 5$

f) $3( x - 2) = 4 ( 3 - x)$
   $3x - 6 = 12 - 4x$
   $3x + 4x = 12 + 6$
   $7x = 18$
   $x = \frac{18}{7}$

Answer 2

A )

4x-1 = 3( x - 1)

4x−1=3x−3

4x−1−3x=−3

x−1=−3

x=−3+1

x=−2

B )

3 ( X - 2 ) = 2X - 4

3x - 6 = 2x - 4

3x - 2x = -4 + 6

x = 2

C )

2 ( x - 1 ) = 3x + 4

2x - 2 = 3x + 4

2x - 3x = 4 + 2

-x = 6

x = -6

D )

3 ( x - 1 ) - 7 = 15  

3x - 3 - 7 = 15

3x = 15 + 3 + 7

3x = 18 + 7

3x = 25

x = 25 / 3

E )

7 ( x - 4 ) = 2x - 3

7x - 28 = 2x - 3

7x - 2x = -3 + 28

5x = 25

x = 25 / 5

x = 5

F )

3 ( x -2 ) = 4 ( 3 - x )

3x - 6 = 12 - 4x

3x +4x = 12 + 6

7x = 18

x = 18/7

x = 18 / 7