Answer:
x = 7/3
Explanation:
To solve the equation:
1/5x - 1/7x = 7/15
We need to find a common denominator for the fractions on the left side. The smallest common multiple of 5 and 7 is 35, so we can rewrite the fractions with 35 as the denominator:
7/35x - 5/35x = 7/15
Simplifying the left side:
2/35x = 7/15
Multiplying both sides by the reciprocal of 2/35:
x = (7/15) / (2/35) = (7/15) * (35/2) = 7/3
Therefore, x = 7/3 is the solution to the equation.