Question

What is the value of x in the equation 2/3 (1/2x + 12) = 1/2(1/3x + 14) – 3?

Answer 1

x = -24

Explanation:

Answer 2

`x=(1)/(26)`

Explanation:

Given Equation:

`(2)/(3)((1)/(2x)+12 ) =(1)/(2)((1)/(3x) +14)-3`

Solving L.H.S and R.H.S and taking the terms of x' to one side and the constants to the other side.

`((2)/(3)) (1)/(2x) +(2)/(3)(12) = ((1)/(2)) ((1)/(3x))+(1)/(2)(14)-3\\ \\ (2)/(6x)+(2*4)=(1)/(6x)+7-3 \\\\ (1)/(3x) +8=(1)/(6x) +4\\\\(1)/(6x)- (1)/(3x) =8-4\\\\(1(1)-1(2x))/(6x)=4\\\\(1-2x)/(6x)=4\\ 1-2x=24x\\24x+2x=1\\26x=1`

`x=(1)/(26)`

So, the value of 'x' is

`x=(1)/(26)`