Question

Hurry !!!!!!!!!!!

What is the value of x in the equation (StartFraction one-half EndFractionx + 12) = StartFraction one-half EndFraction(StartFraction 2 Over 3 EndFraction left-parenthesis StartFraction one-half EndFraction. x plus 12 right-parenthesis equals left-parenthesis StartFraction one-half EndFraction left-parenthesis StartFraction one-third EndFraction x plus 14 right-parenthesis minus 3.x + 14) – 3?

Answer 1

-24

Explanation:

Answer 2

The solution is -24, the first choice.

Explanation:

The given equation is

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

First, we use distributive property

`(2)/(6)x+(24)/(3)=(1)/(6)x+(14)/(2)-3`

Then, we simplify fractions

`(1)/(3)x+8=(1)/(6)x+7-3`

Now, we move all variables to the left and all constants to the right, and solve for
`x`

`(1)/(3)x-(1)/(6)x=4-8\\(6-3)/(18)x=-4\\ (3)/(18)x=-4\\(1)/(6)x=-4\\ x=-24`

Therefore, the solution is -24, the first choice.