SOLUTION: solve for x (x-5)/3 - 3/3 = (4x + 7)/6

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: solve for x (x-5)/3 - 3/3 = (4x + 7)/6      Log On


   

Question 151677: solve for x
(x-5)/3 - 3/3 = (4x + 7)/6
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28x-5%29%2F3-3%2F3=%284x%2B7%29%2F6 Start with the given equation.


6%28%28x-5%29%2Fcross%283%29-3%2Fcross%283%29%29=6%28%284x+%2B+7%29%2Fcross%286%29%29 Multiply both sides by the LCD 6 to clear any fractions.


2x-10-6=4x%2B7 Distribute.


2x-19=4x%2B7 Combine like terms on the left side.


2x-16=4x%2B7 Combine like terms on the left side.


2x=4x%2B7%2B16 Add 16 to both sides.


2x-4x=7%2B16 Subtract 4x from both sides.


-2x=7%2B16 Combine like terms on the left side.


-2x=23 Combine like terms on the right side.


x=%2823%29%2F%28-2%29 Divide both sides by -2 to isolate x.


x=-23%2F2 Reduce.


----------------------------------------------------------------------

Answer:

So the answer is x=-23%2F2


Which approximates to x=-11.5