finding the value of x

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I know the answers to these, I'm just know sure how to work them out any of these completely. Can you please teach me how to work them out in the easiest way?

Find the value for x

1) 5x - (2x - 10) = 35 answer is 25/3

2) 3x + 5 = 2 x + 13 answer is 8

3) 13x +14 = 12x - 5 answer is -19

4) 5x - (2x + 2) = x + (3x - 5) answer is 3

5) x/5 = x/6 + 1 answer is 30

6) 5/x = 10 / 3x + 4 not sure but I think it is 5/12

7) 4/x = 9/5 - 7x - 4 / 5x answer is 9

8) 3 / x + 4 - 7 = -4 / x + 4 (x = - 4) not sure but I think its 4

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@gocards1057,

You need to use simplification. What you do to one side of the equation, you do to the other. I'll use your number 2 as an example.
3x + 5 = 2x + 13
We want to get x by itself on one side, so to start lets subtract 2x from both sides:
3x-2x + 5 = 2x - 2x + 13
or
x+5 = 13
now, we subtract 5 from each side to get x by itself:
x+5-5 = 13-5
or
x=8

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@gocards1057,

I'd be far more comfortable with you showing US how you got those answers. Show us your proofing work and we'll correct or find you a better way if you went wrong. For all we know, you could've looked up the answers in the answer key.

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finding the value of x

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