SOLUTION: -4(x-3)+x=-2x-3/4

Algebra ->  Equations -> SOLUTION: -4(x-3)+x=-2x-3/4      Log On


   

Question 147248: -4(x-3)+x=-2x-3/4
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

-4%28x-3%29%2Bx=-2x-3%2F4 Start with the given equation.


-4x%2B12%2Bx=-2x-3%2F4 Distribute.


4%28-4x%2B12%2Bx%29=4%28-2x-3%2Fcross%284%29%29 Multiply both sides by the LCD 4 to clear any fractions.


-16x%2B48%2B4x=-8x-3 Distribute and multiply.


-12x%2B48=-8x-3 Combine like terms on the left side.


-12x=-8x-3-48 Subtract 48 from both sides.


-12x%2B8x=-3-48 Add 8x to both sides.


-4x=-3-48 Combine like terms on the left side.


-4x=-51 Combine like terms on the right side.


x=%28-51%29%2F%28-4%29 Divide both sides by -4 to isolate x.


x=51%2F4 Reduce.


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

Answer:

So the answer is x=51%2F4


Which approximates to x=12.75