Respuestas
Respuesta:
1. X = 3
2. X = 1
3. X = -18/4 = -4.5
4. X = -12/34
5. X = -1
6. X = 2
7. X = 1/2
Explicación paso a paso:
1. X - (2X + 1) = 8 - (3X + 3)
----> X - 2X -1 = 8 -3X - 3 -----> X - 2X + 3X = 8 -3 +1 ------> 2X = 6 -----> X= 6/2 = 3
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 = 1
3. (5 -3X) - (-4X + 6) = (8X + 11) - (3X - 6)
----> 5 - 3X + 4X - 6 = 8X + 11 - 3X +6 ----> X - 1 = 5X + 17 ----> -4X = 18 ---> X = 18/(-4) = - 4.5
4. 30X - (-X +6) + (-5X + 4) = - (5X + 6) + (-8 + 3X)
----> 30X +X - 6 - 5X + 4 = -5X - 6 -8 - 3X -----> 31X - 5X -6 + 4 = -8X -14 ----> 26X - 2 = -8X -14 -----> 26X + 8X = -14 +2 -----> 34X = -12 -----> X= -12/34
5. 15X + (-6X + 5) - 2 - ( -X + 3) = - (7X + 23) - X + (3 - 2X)
----> 15X - 6X +5 -2 + X - 3 = -7X -23 -X +3 -2X ----> 10X = -10X -20 ---> 20X = -20 ----> X= -20/20 = -1
6. 3X + (-5X - (X + 3)) = 8X + (-5X - 9)
----> 3X + (-5X -X + 3) = 8X -5X -9 -----> 3X - 5X - X + 3 = 3X - 9 ----> -3X + 3 = 3X - 9 ----> -3X -3X = -9 -3 ---> -6X = -12 ----> X=-12/-6 = 2
7. 16X - (3X - (6 - 9X)) = 30X + (- (3X+2) - (X+3))
-----> 16X - (3X - 6 + 9X) = 30X + (-3X -2 -X -3) ----> 16X - 3X +6 - 9X = 30X -3X -2 -X -3 ----> 4X + 6 = 26X -5 ----> 4X-26X = -5 -6 ---> -22X = -11 ----> X= -11/-22 = 1/2