Question

x/2 - x/3 = x/4 + 1/2​

Answer 1

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Answer 2

Answer:

x = -6

Step-by-step explanation:

LHS   :-

x/2 - x/3

= find LCM for 2,3 .

= 6

multiply (x/2 *3/3 )and (x/3*2/2)

" WE ARE ABLE TO MULTIPLY AS 3/3 AND 2/2 = 1

MULTIPLYING ANYTHING BY 1 GIVES THE SAME VALUE . "

3x/6 -2x/6= x/6

RHS   :-

(x/4)+(1/2 )

= (x/4)+(2/4)

=(x+2)/4

LHS = RHS :-

(x/6) = (x+2)/4

→  $\frac{(x+2)(6)}{4}$  = x

(6x+12)/4 = x

→ 6x +12 = 4x

→ 4x-6x=12

→ -2x = 12

→ x = 12/(-2)

→ x = -6