Question

Solve

x/2-(x-4)/6=5/3
(it's urgent)​

Answer 1

GIVEN :-

$\\ \sf \: \dfrac{x}{2} - \dfrac{x - 4}{6} = \dfrac{5}{3}$

TO FIND :-

• Value of x.

SOLUTION :-

$\\ \implies\sf \: \dfrac{x}{2} - \dfrac{x - 4}{6} = \dfrac{5}{3} \\ \\ \\ \implies\sf \: \dfrac{x(3) - 2(x - 4)}{6} = \dfrac{5}{3} \\ \\ \\ \implies\sf \: \dfrac{3x - 2x + 8}{6} = \dfrac{5}{3} \\ \\ \\ \implies \sf \: \dfrac{x + 8}{6} = \dfrac{5}{3}$

$\\ \implies \sf \: x + 8 = \dfrac{5}{ \cancel3} \times { { \cancel6} \: ^{2} } \\ \\ \\ \implies\sf \: x + 8 = 5 \times 2 \\ \\ \\ \implies\sf \: x + 8 = 10 \\ \\ \\ \implies \sf \: x = 10 - 8 \\ \\ \\ \implies\boxed{ \mathfrak{x = 2}}$

VERIFICATION :-

$\\ \longmapsto\sf \dfrac{x}{2} - \dfrac{x - 4}{6} = \dfrac{5}{3} \\ \\ \\ \longmapsto\sf \: \cancel\dfrac{2}{2} - \dfrac{2 - 4}{6} = \dfrac{5}{3} \\ \\ \\ \longmapsto\sf \: 1 + \dfrac{2}{3} = \dfrac{5}{3} \\ \\ \\ \longmapsto\sf \: \dfrac{3 + 2}{5} = \dfrac{5}{3} \\ \\ \\ \longmapsto\sf \: \dfrac{5}{3} = \dfrac{5}{3} (verified)$