SOLUTION: what is the asnwer to -14 + 3(x + 10) = 7(2x + 4) + x

Algebra ->  Equations -> SOLUTION: what is the asnwer to -14 + 3(x + 10) = 7(2x + 4) + x       Log On


   

Question 176429: what is the asnwer to -14 + 3(x + 10) = 7(2x + 4) + x
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

-14%2B3%28x%2B10%29=7%282x%2B4%29%2Bx Start with the given equation.


-14%2B3x%2B30=14x%2B28%2Bx Distribute.


3x%2B16=14x%2B28%2Bx Combine like terms on the left side.


3x%2B16=15x%2B28 Combine like terms on the right side.


3x=15x%2B28-16 Subtract 16 from both sides.


3x-15x=28-16 Subtract 15x from both sides.


-12x=28-16 Combine like terms on the left side.


-12x=12 Combine like terms on the right side.


x=%2812%29%2F%28-12%29 Divide both sides by -12 to isolate x.


x=-1 Reduce.


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

Answer:

So the answer is x=-1