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

Answer:

-24

Step-by-step explanation:

Answer 2

Answer:

The solution is -24, the first choice.

Step-by-step explanation:

The given equation is

$\frac{2}{3}(\frac{1}{2}x+12 )=\frac{1}{2}(\frac{1}{3}x+14 ) -3$

First, we use distributive property

$\frac{2}{6}x+\frac{24}{3}=\frac{1}{6}x+\frac{14}{2}-3$

Then, we simplify fractions

$\frac{1}{3}x+8=\frac{1}{6}x+7-3$

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

$\frac{1}{3}x-\frac{1}{6}x=4-8\\\frac{6-3}{18}x=-4\\ \frac{3}{18}x=-4\\\frac{1}{6}x=-4\\ x=-24$

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