SOLUTION: If you multiply an unknown number by 6 and then add 5, the result is 7 less than the unknown number plus 1 multiplied by 3. Find the ‘known number’.

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Question 896492: If you multiply an unknown number by 6 and then add 5, the result is 7 less than the unknown number plus 1 multiplied by 3. Find the ‘known number’.
Answer by JulietG(1812) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the unknown number
6x+5=((x+1)*3)-7
Start inside the parentheses by multiplying x+1 by 3
6x+5 = (3x+3)-7
Add
6x+5 = 3x-4
Subtract 3x from each side
3x+5=-4
Subtract 5 from each side
3x = -9
Divide each side by 3
x = -3


Let's check.
multiply an unknown number by 6 (6*-3=-18)and then add 5 (-18+5=-13), the result is 7 less than the unknown number plus 1 (-3+1=-2) multiplied by 3 (-2*3=-6).
Seven less than -6 is -13.