**Q: Solve for x: x/2- 1+x/5 = -1/2**

A: The first thing I like to do is get rid of denominators (fractions) if possible! In order to do this, I look at all of the denominators: 2, 5, 2. So really, the two denominators are 2 & 5 (repeats don’t matter). What number do both 2 & 5 go into? 10! Therefore, I am going to multiply every part of the equation by 10.

x/2- 1+x/5 = -1/2 ** [now multiply each part by 10]**

10(x/2)- (10)1+(10)x/5 = -1/2(10)

10x/2 – 10 + 10x/5 = -5 **[I just reduced a bit and combined]**

Keep reducing to get:

5x – 10 + 2x = -5

And combine:

7x – 10 = -5

And solve!

7x = 5

x = 5/7

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