SOLUTION: 8 less than twice the sum of a number and 10 is twice the opposite of the number. Find the number.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: 8 less than twice the sum of a number and 10 is twice the opposite of the number. Find the number.      Log On


   

Question 1128220: 8 less than twice the sum of a number and 10 is twice the opposite of the number. Find the number.
Answer by ikleyn(52790) About Me  (Show Source):
You can put this solution on YOUR website!
.
The literal translation of the condition is THIS equation


    2*(x+10) - 8 = 2*(-x)


Solve it step by step:


    2x + 20 - 8 = -2x


    2x + 12 + 2x = 0


    4x = -12


    x = -12%2F4 = -3.


Check.   2*((-3) + 10) - 8 = 2*7 - 8 = 14 - 8 = 6.

         From the other side, 2(-(-3)) = 6,  also.     ! Correct !


ANSWER.  The number is -3.

Solved and checked.