SOLUTION: 1/25 (x-4) + 0.018 = 0.07 (x-2) - 0.06 (x-0.3) I keep getting x=4 but when I check it the answer doesn't check out.

Algebra ->  Linear-equations -> SOLUTION: 1/25 (x-4) + 0.018 = 0.07 (x-2) - 0.06 (x-0.3) I keep getting x=4 but when I check it the answer doesn't check out.       Log On


   



Question 967361: 1/25 (x-4) + 0.018 = 0.07 (x-2) - 0.06 (x-0.3)
I keep getting x=4 but when I check it the answer doesn't check out.

Found 2 solutions by addingup, MathTherapy:
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
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




Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
1/25 (x-4) + 0.018 = 0.07 (x-2) - 0.06 (x-0.3)
I keep getting x=4 but when I check it the answer doesn't check out.
%281%2F25%29%28x+-+4%29+%2B+.018+=+.07%28x+-+2%29+-+.06%28x+-+.3%29
.04(x – 4) + 0.018 = .07x – .14 - .06x + .018 ------ Converting 1%2F25 to .04, and distributing on the right side
.04x - .16 + 0.018 = .07x - .14 - .06x + 0.018 ----- Distributing left side
.04x - .16 + 0.018 - 0.018 = .07x - .06x - .14
.04x - .16 = .01x - .14
.04x - .01x = - .14 + .16
.03x = .02
x+=+.02%2F.03, or highlight_green%282%2F3%29