Question

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1. 10(t-9)-9(5-6t)=2(4t-1)+5+10t
2. 3n-1-(n-4)-[2(n-3)-3(1-2n)]=-n-2
3. x/2-x=x/4-9

Answer 1

1.-

10(t-9)-9(5-6t)=2(4t-1)+5+10t
(10t - 90) - (45 -54t) = (8t - 2) + 5 +10t
10t - 90 - 45 + 54t = 8t -2 + 5 10t
64t - 135 = 18t + 3
46t = 138
t =138/46
t=3

2.-

3n-1-(n-4)-[2(n-3)-3(1-2n)]=-n-2
3n - 1 - (n-4) - [(2n-6) - (3-6n)] = -n - 2
3n - 1 -n +4 -8n +9 = -n -2
-6n +12 = -n -2
14 = 5 n
14/5 = n
2.8 = n 

c.-

x/2 - x = x/4-9
x/2 -x = x/-5 ---> amplificamos ambos lados por 10
10x/2 -10x = 10x/-5
5x -10x = -2x 
7x -10x = 0
-3x = 0
x = 0


saludos :)

Answer 2

1. 10t-90-45+54t=8t-2+5+10t
64t-135=18t+3
64t-18t=135+3
46t=138
t=138/46
t=3

2. 3n-1-(n-4)-[2n-6-3+6n]=-n-2
3n-1-n+4-2n+6+3-6n=n-2
-6n+12=-n-2
-6n+n=-2-12
-5n=-14
n=-14/-5
n=14/5

3. x-2x/2=x-36/4
-x/2=x-36/4
4(-x)=2(x-36)
-4x=2x-72
-4x-2x=-72
-6x=-72
x=-72/-6
x=12