Respuestas
Respuesta:
1. x = 3
2. x = 1
3. x = -4,5
4. x = -3/7
5. x = -1
Explicación paso a paso:
Ejercicio 1
x - (2x + 1) = 8 - (3x + 3)
x - 2x - 1 = 8 - 3x - 3
- x - 1 = 5 - 3x
- x + 3x = 5 + 1
2x = 6
x = 6/2
x = 3
Ejercicio 2
15x - 10 = 6x - (x + 2) + (-x + 3)
15x - 10 = 6x - x - 2 - x + 3
15x - 10 = 4x + 1
15x - 4x = 1 + 10
11x = 11
x = 11/11
x = 1
Ejercicio 3
(5 - 3x) - (-4x + 6) = (8x + 11) - (3x - 6)
5 - 3x + 4x - 6 = 8x + 11 - 3x + 6
- 1 + x = 5x + 17
- 1 - 17 = 5x - x
-18 = 4x
-18/4 = x
-9/2 = x
x = -9/2 = -4,5
Ejercicio 4
30x - (-x + 6) + (-5x + 4) = -(5x + 6) + (-8 + 3x)
30x + x - 6 - 5x + 4 = - 5x - 6 - 8 + 3x
26x - 2 = - 2x - 14
26x + 2x = - 14 + 2
28x = -12
x = -12/28
x = -6/14
x = -3/7
Ejercicio 5
15x + (-6x + 5) - 2 - (-x + 3) = -(7x + 23) - x + (3 - 2x)
15x - 6x + 5 - 2 + x - 3 = - 7x - 23 - x + 3 - 2x
10x + 0 = - 10x - 20
10x = - 10x - 20
10x + 10x = -20
20x = -20
x = -20/20
x = -1