Question

$\frac{x - 5}{10} - \frac{x - 3}{2} = 8 + x$​

Answer 1

Step-by-step explanation:

$\frac{x - 5}{10} - \frac{x - 3}{2} = 8 + x \\ \frac{x - 5 - (x - 3) \times 5}{10} = 8 + x \\ \frac{x - 5 - 5x + 15}{10} = 8 + x \\ \frac{10 - 4x}{10} = 8 + x \\ 10 - 4x = 10 (8 + x) \\ 10 - 4x = 80 + 10x \\ 10 - 80 = 10x + 4x \\ - 70 = 14x \\ \frac{ - 70}{14} = x \\ \large\boxed{ \underline{ \underline{ - 5}} = x}$