Question

Resolva as seguintes equações do 1° grau:

a) 4x - 1 = 3. (x - 1)

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

c) 4. (x - 1) - 7 = 15

d) 5. (x - 2) = 4. (3 - x)

e) 3. (3x - 1) = 2. (3x + 2)

Answer 1

a) 4x - 1 = 3. (x - 1)      

   4x - 1 = 3x - 3              

   4x - 3x = - 3 + 1

   1x = - 2

   x = - 2

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

    3x - 6 = 2x - 4

    3x - 2x = - 4 + 6

    1x  = 2

    x = 2

c) 4. (x - 1) - 7 = 15

   4x - 4 - 7 = 15

   4x = 15 + 7 + 4

   4x = 26

   x = 26 : 4

   x = 6

d) 5. (x - 2) = 4. (3 - x)

   5x - 10 = 12 - 4x

   5x + 4x = 12 + 10

   9x = 22

   x = 22 : 9

   x = 2.444

e) 3. (3x - 1) = 2. (3x + 2)

   9x - 3 = 6x + 4

   9x - 6x = 4 + 3

   3x = 7

   x = 7 : 3

   x = 2.333