Question

if x/3-1/4=3/2-x/4then x=​

Answer 1

Answer:

3

Step-by-step explanation:

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

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

take LCM of 4,3 (12) and 2,4 (4)

{ 4 × (x) + 3 × (x) } / 12 = { 2 × (3) + 1 × (1) } / 4

{ 4x + 3x } / 12 = { 6 + 1 } / 4

{ 7x } / 12 = { 7 } / 4

7x = 7 / 4 × 12

cancel 4 and 12

you will get 1 (denominator) and 3 (numerator)

7x = 7 × 3

7x = 21

x = 21 ÷ 7

x = 3