algebra 2
posted by gamer chick .
Solve the equation. Check for extraneous solutions.
998x=2x+3
can anyone please show me how to do this problem?

9  9  8 x  = 2 x + 3 Divide both sides by 9
 9  8 x  = 2 x / 9 + 3 / 9
 9  8 x  = 2 x / 9 + 1 / 3
+ OR  ( 9  8 x ) = 2 x / 9 + 1 / 3
1.
+ ( 9  8 x ) = 2 x / 9 + 1 / 3
9  8 x = 2 x / 9 + 1 / 3 Subtract 9 to both sides
9  8 x  9 = 2 x / 9 + 1 / 3  9
 8 x = 2 x / 9 + 1 / 3  27 / 3
 8 x = 2 x / 9  26 / 3 Subtract 2 x / 9 to both sides
 8 x  2 x / 9 = 2 x / 9  26 / 3  2 x / 9
 8 x  2 x / 9 =  26 / 3
 72 x / 9  2 x / 9 =  26 / 3
 74 x / 9 =  26 / 3 Multiply both sides by 9
 74 x =  26 * 9 / 3
 74 x =  234 / 3
 74 x =  78 Divide both sides by  74
x =  78 /  74
x =  2 * 39 /  ( 2 * 37 )
x =  39 /  37
x = 39 / 37
2.
 ( 9  8 x ) = 2 x / 9 + 1 / 3
 9 + 8 x = 2 x / 9 + 1 / 3 Add 9 to both sides
 9 + 8 x + 9 = 2 x / 9 + 1 / 3 + 9
8 x = 2 x / 9 + 1 / 3 + 27 / 3
8 x = 2 x / 9 + 28 / 3 Subtract 2 x / 9 to both sides
8 x  2 x / 9 = 2 x / 9 + 28 / 3  2 x / 9
8 x  2 x / 9 = 28 / 3
72 x / 9  2 x / 9 = 28 / 3
70 x / 9 = 28 / 3 Multiply both sides by 7
70 x = 28 * 9 / 3
70 x = 252 / 3
70 x = 84 Divide both sides by 70
x = 84 / 70
x = 2 * 6 * 7 / ( 2 * 5 * 7 )
x = 6 / 5
The solutions are :
x = 39 / 37
and
x = 6 / 5 
Were there any extraneous solutions?
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