Solve for x. Simplify your answer as much as possible.
\large \frac{12}{x}=\frac{26}{x}-5
To solve for x, we can first combine the fractions on the right side of the equation:
\frac{12}{x} = \frac{26}{x} - 5
Multiplying both sides by x to get rid of the denominators:
12 = 26 - 5x
Rearranging the terms:
5x = 26 - 12
5x = 14
Dividing by 5 on both sides:
x = \frac{14}{5}
Therefore, the solution for x is x = \frac{14}{5}.