SOLUTION: Now I'm really lost. 18. 1/2 (4d - 2 )= d +5

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Question 121338This question is from textbook pre-algerbra
: Now I'm really lost.

18. 1/2 (4d - 2 )= d +5 This question is from textbook pre-algerbra

Found 3 solutions by MathLover1, checkley71, Prithwis:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

1%2F2+%284d+-+2+%29=+d+%2B5....multiply both sides by 2

2%281%2F2%29+%284d+-+2+%29=+2%2Ad+%2B+2%2A5....
cross%282%29%281%2Fcross%282%29%29+%284d+-+2+%29=+2d+%2B+10....
1%284d+-+2+%29=+2d+%2B+10....
4d+-+2+=+2d+%2B+10....move 2d to the left and -2 to the right
4d+-+2d+=+2+%2B+10....
+2d+=++12............divide both sides by 2
+2d%2F2+=++12%2F2............
+d+=++6............

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
18) 1/2(4d-2)=d+5
(4d-2)/2=d+5
2(2d-1)/2=d+5 now cancel the 2 in the denominator & numerator opf the fraction.
2d-1=d+5
2d-d=5+1
d=6 answer.
proof
(4*6-2)/2=6+5
(24-2)/2=11
22/2=11
11=11

Answer by Prithwis(166) About Me  (Show Source):
You can put this solution on YOUR website!
1/2(4d-2)=d+5
=> 2d-1=d+5 [multiply the 1/2]
=> d-1=5 [subtract d from both sides]
=> d=6 [add 1 to each sides]
so, d=6 is the answer.