Question

How to check the answer of this equation
(X) /2-(1 ) /4=(x) /3+(1) /2

Answer 1

Answer:

x/2-1/5=x/3+1/4

x/2-x/3=1/4+1/5

3x-2x/6=5+4/20

x/6=9/20

20x=54

x=54/20

x=27/10

Answer 2

$\textbf{\huge\underline{\underline\red{solution} : - }} \\ \\ = > \bold \blue{ \frac{x}{2} - \frac{1}{4} = \frac{x}{3} + \frac{1}{2} } \\ \\ = > \bold \blue{ \frac{x \times 2}{2 \times 2} - \frac{1}{4} = \frac{x \times 2}{3 \times 2} + \frac{1 \times 3}{2 \times 3} } \\ \\ = > \bold \blue{ \frac{2x}{4} - \frac{1}{4} = \frac{2x}{6} + \frac{3}{6} } \\ \\ = > \bold \blue{ \frac{(2x - 1)}{4} = \frac{(2x + 3)}{6} } \\ \\ = > \bold \blue{6(2x - 1) = 4(2x + 3) } \\ \\ = > \bold \blue{12x - 6 = 8x + 12} \\ \\ = > \bold \blue{12x + 8x = 12 + 6} \\ \\ = > \bold \blue{20x = 18} \\ \\ = > \bold \blue{x = \frac{18}{20} } \\ \\ = > \bold \blue{x = \frac{9}{10} \: \: or \: \: 0.9} \\ \\ \bold \purple{when \: \: \: \: x = \frac{9}{10} \: or \: \: 0.9 \: \: then \: } \\ \\ = > \bold \blue{ \frac{x}{2} - \frac{1}{4} = \frac{x}{3} + \frac{1}{2} } \\ \\ \fcolorbox{red}{white}{i \: hope \: it \: helps \: you.}$