Question

Solve :

x/2 + x/3 - x/4 = 7

Answer 1

Hello...
Here is your answer...

We have,

$\frac{x}{2} + \frac{x}{3} - \frac{x}{4} = 7$


LCM of denominators 2,3,4 on LHS is 12. Multiplying both sides by 12 , we get

$6 x + 4x - 3x = 7 \times 12 \\ \\ = > 7x = 7 \times 12 \\ \\ = > 7x = 84 \\ \\ = > \frac{7x}{7} = \frac{84}{7} \\ \\ = > x = 12$


Check :

Substituting x = 12 in the given equation, we get

LHS =
$\frac{12}{2} + \frac{12}{3} - \frac{12}{4} = 6 + 4 - 3 = 7 \: \: and \: RHS = 7$


: LHS = RHS for x = 12

Hence, x = 12 is the solution of the given equation.


Hope it helped ☺☺☺

Answer 2

$<b>$Here is the answer to your question!

LCM of the denominators 2,3,4 on LHS is 12.

Multiplying both side by 12 we get:

6x + 4x - 3x = 7 × 12

= 7x = 7 × 12

=> 7x/7 = 84/7

=> x = 12

HOPE IT HELPED!!