Question

simplify and find the value of x ; x/7 + 8 = ×/6 + ×/8​

Answer 1

Answer:

x = 53.76

Step-by-step explanation:

$\frac{x}{7} + 8 = \frac{x}{6} + \frac{x}{8} \\ \frac{x}{6} + \frac{x}{8} - \frac{x}{7} = 8 \\ \frac{28x + 21x - 24x}{168} = 8 \\ 25x = 8 \times 168 \\ x = \frac{8 \times 168}{25} \\ x = \frac{1344}{25} \\ x = 53.76$

$\frac{x}{7} + 8 = \frac{x}{6} + \frac{x}{8} \\ \frac{x + 56}{7} = \frac{4x + 3x}{24} \\ 24(x + 56) = 7(7x) \\ 24x + 1344 = 49x \\ 49x - 24x = 1344 \\ 25x = 1344 \\ x = \frac{1344}{25}$