You can
put this solution on YOUR website! 5x - 5 = 3x - 7 + 2(x + 1)
First remove the parentheses on the RHS by
multiplying each term inside the parentheses
by the outer multiplier 2:
5x - 5 = 3x - 7 + 2x + 2
Combine the 3x and the 2x on the RHS as 5x;
also combine the -7 and the +2 as -5
5x - 5 = 5x - 5
Add 5 to both sides
5x - 5 + 5 = 5x - 5 + 5
5x = 5x
Subtract 5x from both sides
5x - 5x = 5x - 5x
0 = 0
The 0 on the left should be thought of as 0x
0x = 0
Now we see that any number can replace x and
the equation will be true, that is
0(1) = 0
0(0) = 0
0(-7) = 0
0(9999) = 0
0(11/17) = 0
etc., etc., etc.
Therefore we say x can be any real number.
This kind of equation is called an identity.
Every number is a solution to it.
Edwin
AnlytcPhil@aol.com
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