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(x+3)/2+3=7

 Nov 15, 2016
edited by Guest  Nov 15, 2016
edited by Guest  Nov 15, 2016
 #1
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(x+3)/2+3=7

The 3s cancel out so you have:

x/2=7
multiply both sides of the equation by 2
x=14

 Nov 15, 2016
 #2
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The other answer is incorrect.

(x+3)/2 +3 = 7

Subtract 3 from both sides of the equation

(x+3)/2  + 3 - 3 = 7 - 3

You end up with

(x+3) / 2 = 4

Then multiply by two

(x+3) / 2 * 2 = 4 * 2

you end up with

(x+3) = 8

Then subtract 3 again

x + 3 - 3 = 8 - 3

You get

x=5

 

The threes don't cancel. One, the threes have to be both positive and negative. In this case, they're both positive. Second, the three by the x is locked to that x by its parentheses and the fact it is in a division with the x. Basically, you could split the x and the three to get x/2 + 3/2. That does not cancel with another + 3. The best way to solve equations like these is to take care of the easy add or subtracts, then take care of the multiply and divides, then get x by itself.

 Nov 15, 2016

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