SOLUTION: Twice the sum of a number and eleven is six less than four times the number.What is the number

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Question 158233: Twice the sum of a number and eleven is six less than four times the number.What is the number
Answer by helpwithhomework(4) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = the number
then "Twice the sum of a number and eleven" = 2x + 11. So
+2x+%2B+11+=+4x+-+6+
Subtract 2x - 6 from both sides
+2x+%2B+11+-+%282x+-+6%29+=+4x+-+6+-+%282x+-+6%29+
Simplify
+2x+%2B+11+-+2x+%2B+6+=+4x+-+6+-+2x+%2B+6+
+17+=+2x+
+x+=+8.5+