SOLUTION: The Problem: Translate the "the difference between twice a number and four times the sum of the number and seven is equal to two" into an equation and solve. Please help!!

Algebra ->  Equations -> SOLUTION: The Problem: Translate the "the difference between twice a number and four times the sum of the number and seven is equal to two" into an equation and solve. Please help!!      Log On


   

Question 184881: The Problem:
Translate the "the difference between twice a number and four times the sum of the number and seven is equal to two" into an equation and solve.
Please help!!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
"the difference between twice a number and four times the sum of the number and seven is equal to two" translates to 2x-4%28x%2B7%29=2


2x-4%28x%2B7%29=2 Start with the given equation.


2x-4x-28=2 Distribute.


-2x-28=2 Combine like terms on the left side.


-2x=2%2B28 Add 28 to both sides.


-2x=30 Combine like terms on the right side.


x=%2830%29%2F%28-2%29 Divide both sides by -2 to isolate x.


x=-15 Reduce.


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Answer:

So the answer is x=-15


So the number is -15