Posted by ggift on Monday, September 14, 2009 at 10:36pm.
solve by using the properties of equality:
4x  18 = 65
wouldn't x = 7

ALGEBRA  Reiny, Monday, September 14, 2009 at 10:56pm
no
how did you get x=7 ?
4x  18 = 65
add 18 to both sides
4x  18 + 18 = 65 + 18
4x = 83
divide both sides by 4
x = 83/4 (not even anywhere close to 7) 
ALGEBRA  ggift, Tuesday, September 15, 2009 at 6:38am
i thought that it would be 7 because when i subtracted 18 from 65 i got 47 and 7 was missing from 4x

ALGEBRA  MathMate, Tuesday, September 15, 2009 at 8:35am
The interpretation of 4 and x in the expression "4x" as digits is used occasionally in mathematics, but more an exception than the rule.
In algebra, the multiplication sign is omitted when we multiply together two mathematical symbols or a number and a mathematical symbol.
For example,
xy is the same as x*y, and
4z equals 4*z.
It's the same principle as when we say 3 apples meaning 3 times the apples.
However, when we deal with two numbers, the multiplication sign is obligatory. 
ALGEBRA  ggift, Tuesday, September 15, 2009 at 5:45pm
Oh, okay, thank you for explaining it to me.