Question

3x/4 – (x-1)/2 = (x-2)/3

Answer 1

Answer:

x = 14

Step-by-step explanation:

Solution⤵️

3x/4 – (x-1)/2 = (x-2)/3

Let us rearrange the equation

3x/4 – (x-1)/2 – (x-2)/3 = 0

By taking LCM for 4, 2 and 3 which is 12

(9x – (x-1)6 – (x-2)4)/12 = 0

(9x – 6x + 6 – 4x + 8)/12 = 0

(-x + 14)/12 = 0

By cross-multiplying

-x + 14 = 0

x = 14

Let us verify the given equation now,

3x/4 – (x-1)/2 = (x-2)/3

By substituting the value of ‘x’ we get,

3(14)/4 – (14-1)/2 = (14-2)/3

42/4 – 13/2 = 12/3

(42 – 26)/4 = 4

16/4 = 4

4 = 4

Hence, the given equation is verified

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