Question 967361
1/25 = 0.018
0.018+(x-4)/25 = 0.07(x-2)-0.06(x-0.3) On the left put each term over 25. Since you are going to reduce 0.018, first you multiply it times 25, 0.018*25= 0.45. Now when you divide it by 25 you haven't changed the original problem:
0.45/25+(x-4)/25 = 0.07(x-2)-0.06(x-0.3)Combine the left:
(x-4+0.45)/25 = 0.07(x-2)-0.06(x-0.3)Group like terms on the left, specifically x-4+0.45 = x+(0.45-4)So now we'll have:
(x+(0.45-4))/25 = 0.07(x-2)-0.06(x-0.3)
(x+-3.55)/25 = 0.07(x-2)-0.06(x-0.3)Now let's work on the right side. Distribute 0.07: 0.07(x-2) = 0.07x-0.14 Now we have:
(x-3.55)/25 = 0.07x-0.14-0.06(x-0.3)Do the same with the 0.06 and you'll get:
(x-3.55)/25 = 0.07x+0.018-0.06x-0.14 Group like terms:
(x-3.55)/25 = (0.07x-0.06x)+(0.018-0.14) Add/subtract on right:
(x-3.55)/25 = 0.01x+-0.122 Now to get rid of the /25, multiply everything times 25:
x-3.55 = 0.25x-3.05 Add 3.55 and subtract 0.25, both sides
0.75x= 0.50 Divide both sides by 0.75:
x= 0.666... or if you need it in fractions: 0.666= 2/3