# How do you solve x/3-x/4+5/6=1/2?

May 8, 2017

Common base approach $x = - 4$

#### Explanation:

Multiply first (x) term by 4, second term by 3, and third term by 2:

$\frac{4 x}{12} - \frac{3 x}{12} + \frac{10}{12}$

which is equal to $\frac{6}{12}$ (the second term on right hand side)

Now you have

$4 x - 3 x + 10 = 6$ after simplfying your 12s.

Or in other words,

$x + 10 = 6$

$x = - 4$

$x = - 4$