Solving fractions for X

**maca404** · March 15th 2011, 09:54 PM

Starting to learn latex and also need to some help: I am trying to solve the equation below:

$\frac{x}{7} - \frac{1}{2} = 1 - \frac{2x}{5}$

The only thing I can think to do is start multiplying out the $\frac{1}{2}$ :

$2\frac{x}{7} - = 2 x 1 - 2\frac{2x}{5}$

or to find a common denominator on the left:

$\frac{2x -7}{14} = 1 - \frac{2x}{5}$

Either way after these I am getting lost if anyone could point out the right direction to me would be great.

Thanks

**Prove It** · March 15th 2011, 10:18 PM

The first step is to perform the subtractions on each side by getting a common denominator.

**TheChaz** · March 15th 2011, 11:06 PM

$\frac{x}{7} - \frac{1}{2} = 1 - \frac{2x}{5}$
You could multiply everything by the LCD (which will be 7*2*5 = 70).
Then you'll have 10x - 35 = 70 - 28x.
Can you take it from here?

**maca404** · March 16th 2011, 01:43 AM

Ok so tell me if I got this right:

$10x - 35 = 70 - 28x$

Then I

$10x + 28x - 35 = 70$

$38x - 35 = 70$

$38x = 70 + 35$

$x = \frac {70 + 35}{38}$

$x = 2\frac {29}{38}$

Sorry for all the question hopefully im close to the answer now

**TheChaz** · March 16th 2011, 01:52 AM

I'd just leave it as x = 105/38, but that's just me...

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