Question

solve.
\\(\frac{x}{6} - \frac{x}{7} = \frac{8}{7}\\)

\\(x = \square\\)
(simplify your answer. type an integer or a fraction.)

Explanation:

Step1: Find common denominator for left side.

The common denominator of 6 and 7 is 42. So we rewrite the left side: $\frac{7x}{42} - \frac{6x}{42} = \frac{8}{7}$.

Step2: Simplify left side.

$\frac{7x - 6x}{42} = \frac{8}{7}$, which simplifies to $\frac{x}{42} = \frac{8}{7}$.

Step3: Solve for x.

Multiply both sides by 42: $x = \frac{8}{7} \times 42$. Calculate $\frac{8}{7} \times 42 = 8 \times 6 = 48$.

Answer:

48