Question

a) 2(x + 4) + 3(x - 15) = -2 b) 7( 3- 5x) -2(1 - 3x) = 8x -1

c) 3x-7 -(-2x) = 16 -x - (-1) d) 2x/ 3 + 3x/4 - x/6 = 1/4

Answer 1

a) 2(x + 4) + 3(x - 15) = -2
2x + 8 + 3x - 45 = -2
5x-37=-2
5x=35
x=7

b) 7( 3- 5x) -2(1 - 3x) = 8x -1
21 - 35x - 2 + 6x = 8x - 1
19 - 29x = 8x - 1
-21x = -20
x = 20/21

c) 3x-7 -(-2x) = 16 -x - (-1)
3x - 7 +2x = 16 - x +1
5x - 7 = 17 - x
6x = 24
x = 6

d) 2x/3 + 3x/4 - x/6 = 1/4. Hago M.C.M. de los denominadores y me da 12, entonces:

(2x/3 + 3x/4 - x/6 = 1/4)×12
8x + 9x - 2x = 3
15x = 3
x = 1/5