To solve the equation 6/x - 8 = 8/x - 6, we need to first find a common denominator for the fractions.
Multiplying both sides by x(x-6) to eliminate the denominators, we get:
6(x-6) - 8x = 8(x-6) - 6xExpand and simplify:6x - 36 - 8x = 8x - 48 - 6x-2x - 36 = 2x - 48Move x terms to one side:-2x - 2x = -48 + 36-4x = -12Now, divide by -4 to solve for x:
x = 3
Therefore, the solution to the equation is x = 3.
To solve the equation 6/x - 8 = 8/x - 6, we need to first find a common denominator for the fractions.
Multiplying both sides by x(x-6) to eliminate the denominators, we get:
6(x-6) - 8x = 8(x-6) - 6x
Expand and simplify:
6x - 36 - 8x = 8x - 48 - 6x
-2x - 36 = 2x - 48
Move x terms to one side:
-2x - 2x = -48 + 36
-4x = -12
Now, divide by -4 to solve for x:
x = 3
Therefore, the solution to the equation is x = 3.