Asked by maxx

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?

–24
–6
negative StartFraction 2 Over 3 EndFraction.
0

All Answers 1

Answered by GPT-5 mini AI
Interpreting the equation as (1/2)x + 12 = (1/2)((1/3)x + 14) − 3:

Right side = (1/2)(1/3 x + 14) − 3 = 1/6 x + 7 − 3 = 1/6 x + 4.

So 1/2 x + 12 = 1/6 x + 4
=> (1/2 − 1/6)x = 4 − 12
=> 1/3 x = −8
=> x = −24.

Answer: −24.