Question 40343
2(w- 3)+2w = 14 (by using distriutive property we remove the parantheses first)

2w-6+2w=14 (add the w terms on the left side)
4w-6 = 14  (add additive inverse of -6 to both sides to leave w term alone)
4w-6+6=14+6
4w = 40 (divide both sides by 4, to leav w alone)
4w/4=40/4
w=10

-5(x + 8) = 4x + 32 (by using distriutive property we remove the parantheses first)
-5x-40=4x+32         (get all x terms on one side)
-5x-40-4x= 4x+32-4x
-9x-40=32     (add additive inverse of -40 to both sides to leave x term alone)
-9x-40+40=32+40
-9x=72         (divide both sides by -9 to leave x alone)
-9x/9=72/(-9)
x=-8


-2(x-4)+7=-6(8x-6)+x  (by using distriutive property we remove the parantheses first)
-2x+8+7=-48x+36+x   
-2x+15=-47x+36    (get all x terms on one side)
-2x+15+47x=-47x+36+47x
45x+15=36        (add additive inverse of 15 to both sides to leave x term alone)
45x+15-15=36-15
45x=21           (divide both sides by 45 to leave x term alone)
45x/45=21/45
x=21/45

7/4x + 4/3 = 1/4x + 7  (get all x terms on one side)
7/4x+4/3-1/4x=1/4x+7-1/4x
6/4x+4/3=7         (add additive inverse of 4/3 to both sides)
6/4x+4/3-4/3=7-4/3
6/4x=17/3       (divide both sides by 6/4 to leave x alone)
x= (17/3)/(6/4)
x=34/9

8t-4/5 + 9t-2/2=47 

I understand this question as: (8t-4)/5 + (9t-2)/2=47 
To get rid of those fractions, multiply both sides by the LCD of 10;

10.((8t-4)/5 + (9t-2)/2 )= 10.47
10.(8t-4)/5 + 10.(9t-2)/2 =470
2.(8t-4)+5.(9t-2)=470      ( by using distriutive property we remove the parantheses )
16t-8+45t-10=470
61t-18=470  (add additive inverse of -18 to both sides)
61t-18+18=470+18
61t=488 (divide both sides 61)
61t/61=488/61
t=8