Question

solve the equation- X/2-1/5=x/3+1/4​

Answer 1

Step-by-step explanation:

X=27/10. THIS IS THE ANSWER BRO

Answer 2

$x=\frac{3}{10}$

Explanation:

Given:

$\frac{x}{2}-\frac{1}{5} =\frac{x}{3}+ \frac{1}{4}$

To find:

The value of x

Solution:

==>  Solve LHS,

==> $\frac{x}{2}- \frac{1}{5}$

==> The denominator is different

==> Taking LCM,  for the denominator  2 and 5

==> LCM is 10

==> $\frac{x(5)}{2(5)}- \frac{1(2)}{5(2)}$

==> $\frac{5x}{10}- \frac{2}{10}$

==> $\frac{5x-2}{10}$

==> LHS = $\frac{5x-2}{10}$

==> Solve RHS,

==> RHS = $\frac{x}{3}+\frac{1}{4}$

==> The denominator is different

==> Taking LCM,  for the denominator  3 and 4

==> LCM is 12

==> $\frac{x(4)}{3(4)}+\frac{1(3)}{4(3)}$

==> $\frac{4x}{12}+\frac{3}{12}$

==> $\frac{4x+3}{12}$

==> RHS = $\frac{4x+3}{12}$

==> LHS=RHS

==> $\frac{5x-2}{10}$ = $\frac{4x+3}{12}$

==> Doing Cross Multiplication,

==> 12(5x-2) = 10(4x+3)

==> 60x-24 = 40x+30

==> Separating x coefficient and constant

==> 60x-40x = 30-24

==> 20x = 6

==> x = 6÷ 20

==>x = 3÷10

==>  $x=\frac{3}{10}$

==> x =0.3