Question

Solve for x:1/2(x-2)+1/3(x-3)+1/4(x-4)

Answer 1

`(1)/(12) * (13x - 36)`

Answer 2

The simplified form of the expression is 1/12(13x - 36)

Using the expression given;

• 1/2(x-2)+1/3(x-3)+1/4(x-4)

1/2(x - 2) = x/2 - 1

1/3(x-3) = x/3 - 1

1/4(x-4) = x/4 - 1

Now we have :

x/2 - 1 + x/3 - 1 + x/4 - 1

x/2 + x/3 + x/4 - 3

(6x + 4x + 3x /12) - 3

13x/12 - 3

Factorize :

1/12(13x - 36)

Hence, the simplified form of the expression is 1/12(13x - 36)