Calcule e responda
1) 4x - 10 = 2x + 2
2) x + 2x + 3 - 5x = 4x - 9
3) 3( x - 2 ) = 2x - 4
4) 2x + 3x + 9 = 8(6 - x)
5) 7 (x - 1) - 2 (x - 5) = x - 5
6) 2 (3 - x) = 3 (x -4) + 15
7) ( 4x + 6) - 2x = (x - 6) + 10 + 14
8) 5( x - 3 ) - 4 ( x - 2 ) = 2 + 3( 1 - 2x)
9) 7x - 4 - x = -7x + 8 - 3x
Soluções para a tarefa
1) 4x - 10 = 2x + 2
4X - 10 = 2X + 2
4x - 2x = 2 + 10
2x = 12
x = 12/2
x = 6
2) x + 2x + 3 - 5x = 4x - 9
x + 2x + 3 - 5x = 4x - 9
3x + 3 - 5x = 4x - 9
3x - 5x + 3 = 4x - 9
2x + 3 = 4x - 9
2x - 4x = - 9 - 3
- 2x = - 12
x = - 12/-2
x = + 12/2
x = + 2
3) 3( x - 2 ) = 2x - 4
3(x - 2) = 2x - 4
3x - 6 = 2x - 4
3x - 2x = - 4 + 6
1x = 2
x = 2/1
x = 2
4) 2x + 3x + 9 = 8(6 - x)
2x + 3x + 9 = 8(6 - x)
5x + 9 = 48 - 8x
5x + 8x = 48 - 9
13x = 39
x = 39/13
x = 3
5) 7 (x - 1) - 2 (x - 5) = x - 5
7(x - 1) - 2(x - 5) = x - 5
7x - 7 - 2x + 10 = x - 5
7x - 2x - 7 + 10 = x - 5
5x + 3 = x - 5
5x - x = - 5 - 3
4x = - 8
x = - 8/4
x = - 2
6) 2 (3 - x) = 3 (x -4) + 15
2(3 - x) = 3( x - 4) + 15
6 -2x = 3x - 12 + 15
6 - 2x = 3x + 3
- 2x - 3x = 3 - 6
-5x = - 3
x = -3/-5
x = + 3/5
7) ( 4x + 6) - 2x = (x - 6) + 10 + 14
(4x + 6) - 2x = ( x - 6) + 10 + 14
4x + 6 - 2x = x - 6 + 24
4x- 2x + 6 = x + 18
2x + 6 = x + 18
2x - x = 18 - 6
1x = 12
x = 12/1
x = 12
8) 5( x - 3 ) - 4 ( x - 2 ) = 2 + 3( 1 - 2x)
5( x - 3 ) - 4 ( x - 2 ) = 2 + 3( 1 - 2x)
5x -15 -4x + 8 = 2 + 3 - 6x
5x - 4x - 15 + 8 = 5 - 6x
1x - 7 = 5 - 6x
1x + 6x = 5 + 7
7x = 12
x = 12/7
9) 7x - 4 - x = -7x + 8 - 3x
7x - 4 - x = - 7x + 8 - 3x
7x - x - 4 = - 7x - 3x + 8
6x - 4 = - 10x + 8
6x + 10x = 8 + 4
16x= 12
x = 12/16 ( divide AMBOS por 4)
x = 3/4
Resposta:
1)
4x - 10 = 2x + 2
4x - 2x = 2 + 10
2x = 12
x = 12/2
x = 6
2)
x + 2x + 3 - 5x = 4x - 9
- 2x + 3 = 4x - 9
- 2x - 4x = - 9 - 3
- 6x = - 12
x = - 12/-6
x = 12/6
x = 2
3)
3( x - 2 ) = 2x - 4
3x - 6 = 2x - 4
3x - 2x = - 4 + 6
x = 2
4)
2x + 3x + 9 = 8(6 - x)
5x + 9 = 48 - 8x
5x + 8x = 48 - 9
13x = 39
x = 39/13
x = 3
5)
7(x - 1) - 2(x - 5) = x - 5
7x - 7 - 2x + 10 = x - 5
5x + 3 = x - 5
5x - x = - 5 - 3
4x = - 8
x = - 8/4
x = - 2
6)
2(3 - x) = 3(x - 4) + 15
6 - 2x = 3x - 12 + 15
6 - 2x = 3x + 3
- 2x - 3x = 3 - 6
- 5x = - 3
x = - 3/-5
x = 3/5
x = 0,6
7)
(4x + 6) - 2x = (x - 6) + 10 + 14
4x + 6 - 2x = x + 18
2x + 6 = x + 18
2x - x = 18 - 6
x = 12
8)
5(x - 3) - 4(x - 2) = 2 + 3(1 - 2x)
5x - 15 - 4x + 8 = 2 + 3 - 6x
x - 7 = 5 - 6x
x + 6x = 5 + 7
7x = 12
x = 12/7
x = 1,714...
9)
7x - 4 - x = - 7x + 8 - 3x
6x - 4 = - 10x + 8
6x + 10x = 8 + 4
16x = 12
x = 12/16
x = 12÷4/16÷4
x = 3/4