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

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(52792) (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 =  = -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.

RELATED QUESTIONS
a number is less than the sum of twice its opposite and five. find the... (answered by ankor@dixie-net.com)

Twice the sum of 10 times a number and 8 is 121 more than the opposite of the number.... (answered by josgarithmetic)

A number is less than the sum of twice its opposite and five. (answered by Mathtut)

the opposite of a number is 8 more than twice the number find this number. (answered by Fombitz)

a number is less than the sum of twice its oppisite and five. find the... (answered by 303795)

Pete found that the sum of twice a number and -13 is 100 less than the opposite of the... (answered by stanbon)

4 more than twice a number is less than the opposite of the... (answered by ankor@dixie-net.com)

the sum of twice a number and -6 is nine more that the opposite of the number. find the... (answered by ankor@dixie-net.com)

twice a number is 12 less than 6 times the opposite of the... (answered by oscargut,ankor@dixie-net.com)