SOLUTION: {{{((x+5)/2)-4=((2x-1)/3)}}} Whats the value for X? State whether the equation is an identitiy, conditional equation or an inconsistent?

Algebra ->  Expressions-with-variables -> SOLUTION: {{{((x+5)/2)-4=((2x-1)/3)}}} Whats the value for X? State whether the equation is an identitiy, conditional equation or an inconsistent?      Log On


   



Question 354986: %28%28x%2B5%29%2F2%29-4=%28%282x-1%29%2F3%29
Whats the value for X?
State whether the equation is an identitiy, conditional equation or an inconsistent?

Answer by Jk22(389) About Me  (Show Source):
You can put this solution on YOUR website!
(x+5)/2-4=(2x-1)/3 | x6
3(x+5)-24=2(2x-1)
3x+15-24=4x-2
-9+2=x
x=-7

The equation is conditional : it's an identity if x=-7, else it's inconsistent.

Verification : (-7+5)/2-4=-2/2-4=-5
(-14-1)/3=-15/3=-5