Questions on Algebra: Systems of Linear Equations answered by real tutors!

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations -> Questions on Algebra: Systems of Linear Equations answered by real tutors!     (Log On)
Ad: You enter your algebra equation or inequality - Algebrator solves it step-by-step while providing clear explanations. Free on-line demo .
Ad: Algebra Solved!™: algebra software that solves YOUR algebra homework problems with step-by-step help!

   


Question 151677: solve for x
(x-5)/3 - 3/3 = (4x + 7)/6
: solve for x
(x-5)/3 - 3/3 = (4x + 7)/6

Answer by jim_thompson5910(9368) About Me  (Show Source):
You can put this solution on YOUR website!
(x-5)/3-3/3=(4x+7)/6 Start with the given equation.


6((x-5)/cross(3)-3/cross(3))=6((4x + 7)/cross(6)) Multiply both sides by the LCD 6 to clear any fractions.


2x-10-6=4x+7 Distribute.


2x-19=4x+7 Combine like terms on the left side.


2x-16=4x+7 Combine like terms on the left side.


2x=4x+7+16 Add 16 to both sides.


2x-4x=7+16 Subtract 4x from both sides.


-2x=7+16 Combine like terms on the left side.


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


x=(23)/(-2) Divide both sides by -2 to isolate x.


x=-23/2 Reduce.


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

Answer:

So the answer is x=-23/2


Which approximates to x=-11.5