Question

At what value of x, the given equation satisfies ( x

/2) - 6 = 8 - (
2x
/3) ?

Answer 1

Answer:

$\frac{x}{2} - 6 = 8 - \frac{2x}{3} \\ \frac{2x}{3} - \frac{x}{2} = 8 + 6 \\ 2x - x = 14 \times 3 \times 2 \\ x = 84$

Answer 2

Answer:

$\frac{x}{2} - 6 = 8 - \frac{2x}{3} \\ \frac{x}{2} + \frac{2x}{3} = 86 \\ \frac{3x + 4x}{6} = 14 \\ 7x = 14 \times 6 \\ x = \frac{84 \times 6}{7} \\ x = 12$