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

Jun 20, 2016

This equation cannot be solved.
Result: $0 = \frac{7}{12}$.

#### Explanation:

The principle of solving equations is putting all letters in left side and all numbers in the right side. When a number or letter crosses to the other side, it goes under the opposite operation. Therefore, let's move one $x$ to the left side (subtracting) and $\frac{1}{3}$ to the right (adding):

$x - x = \frac{1}{4} + \frac{1}{3}$

Simplify the operation:

$0 = \frac{3 + 4}{12}$

$0 = \frac{7}{12}$

But this is not true. Zero is not equals $\frac{7}{12}$!
$0 \ne \frac{7}{12}$.

This equation cannot be solved.