Question

10-x-1/2+x-2/3=x-3/4​

Answer 1

Question :-

→ 10 - x -1/2 + x -2/3 = x -3/4

Answer :-

→ x = 115/12

Explanation :-

→ 10 - x -1/2 + x -2/3 = x -3/4

→ 10 -1/2 - 2/3 = x -3/4

→ (60-3-4)/6 = x -3/4

→ 53/6 = x -3/4

→ x = 53/6 + 3/4

→ x = (106+9)/12

→ x = 115/12

Answer 2

$\huge\bf\purple{SoLuTion:-}$

$\frac{10 - x - 1}{2} + \frac{x - 2}{3} = \frac{x - 3}{4} \\ \\ \frac{9 - x}{2} + \frac{x - 2}{3} = \frac{x - 3}{4} \\ \\ \frac{3(9 - x) + 2(x - 2)}{6} = \frac{x - 3}{4} \\ \\ \frac{27 - 3x + 2x - 4}{6} = \frac{x - 3}{4} \\ \\ \frac{23 - x}{6} = \frac{x - 3}{4} \\ \\ 4(23 - x) = 6(x - 3) \\ \\ 92 - 4x = 6x - 18 \\ \\ 92 + 18 = 6x + 4 \\ \\ 110 = 10x \\ \\ x = \frac{110}{10} \\ \\ x = 11$

$\huge{\boxed{\boxed{\boxed{\red{x = 11}}}}}$