0 ) Dan bought 7 new baseball trading cards to add to his collection. The next
1 answer:
Dan started with 69 cards
Step-by-step explanation:
Let x be the initial number of cards
Then
According to "Dan bought 7 new baseball trading cards to add to his collection"
The next day his dog ate half of his collection.
There are now only 38 cards left.
Multiplying both sides by 2
Subtracting 7 from both sides
Hence,
Dan started with 69 cards
Keywords: Linear equation, word problems
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Start off by making a ratio and write down the given. From there solve and multiply. Hopefully the picture helps :)
3x + 7 = x
First, subtract 3x from both sides. / Your problem should look like: 7 = x - 3x
Second, simplify x - 3x to -2x. / Your problem should look like: 7 = -2x
Third, divide both sides by -2. / Your problem should look like:
= x
Fourth, simplify to 
/ Your problem should look like: 
= x
Fifth, switch sides. / Your problem should look like: x =
Answer as fraction:
Answer as decimal: -3.5
First, subtract 3x from both sides. / Your problem should look like: 7 = x - 3x
Second, simplify x - 3x to -2x. / Your problem should look like: 7 = -2x
Third, divide both sides by -2. / Your problem should look like:
Fourth, simplify
Fifth, switch sides. / Your problem should look like: x =
Answer as fraction:
Answer as decimal: -3.5