Question

Resolva as equações

3(t-5)+7t=5 (3-t)




9 (3x-1)-5= 6x





x-2 (3-2x)=0




2 (x-3)=-5 (x+4)




5-4 (x+1)=4x-3 (4x-1)-4

Answer 1

3(t-5)+7t=5 (3-t)

3t - 15 + 7t = 15 - 5t
3t + 7t + 5t = 15 + 15
15t = 30
t = 30/15
t = 2

____________

9(3x - 1) - 5 = 6x
27x - 9 - 5 = 6x
21x = 14
x = 14/21
x = 2/3

_______________

x - 2 (3 - 2x) = 0
x - 6 + 4x = 0
5x = 6
x = 5/6

__________________

2(x - 3) = -5 (x + 4)
2x - 6 = -5x - 20
8x = -20 + 6
8x = -14
x = -14/8
x = -7/4

_________

5 - 4(x + 1) = 4x - 3(4x - 1) - 4
5 - 4x - 4 = 4x -12x + 3 - 4
-4x -4x + 12x = -5 + 4 + 3 - 4
4x  = -2
x = -2 / 4
x = -1/2

Answer 2

3(t - 5) + 7t = 5(3 - t)
3t - 15 + 7t = 15 - 5t
3t + 7t + 5t = 15 + 15
15t = 30
t = 30/15
t = 2

9( x - 1) - 5= 6x
9x - 9 - 5 = 6x
9x - 6x = +9 + 5
3x = 14
x = 14/3 ou x = 4,6

x - 2(3 - 2x)= 0
x - 6 + 4x = 0
x + 4x = 0 + 6
5x = 6
x = 6/5 ou x= 1,2

2(x - 3) = 5( x + 4)
2x - 6 = 5x + 20
2x - 5x = 20 + 6
- 3x = 26(multiplicando por -1)
3x = - 26
x = - 26/3 ou x = - 8,6

5 - 4(x+1) = 4x - 3(4x - 1) - 4
5 - 4x - 4 = 4x - 12x + 3 - 4
 - 4x - 4x + 12x = 3 - 4 + 4 - 5
4x = - 2
x = -  2/4 
x = - 1/2 ou x = - 0,5