First, we need to simplify the equation.
(3x+2)/(x-1) = (7(x+3) - 2(2x+5) - 9)/(x-1)
Simplify the right side of the equation first:
(7(x+3) - 2(2x+5) - 9) = (7x+21 - 4x - 10 - 9) = (3x + 2)
Now, our equation becomes:
(3x+2)/(x-1) = (3x+2)/(x-1)
Since both sides are equal, the equation is true for all values of x except when x = 1 (since division by zero is undefined).
First, we need to simplify the equation.
(3x+2)/(x-1) = (7(x+3) - 2(2x+5) - 9)/(x-1)
Simplify the right side of the equation first:
(7(x+3) - 2(2x+5) - 9) = (7x+21 - 4x - 10 - 9) = (3x + 2)
Now, our equation becomes:
(3x+2)/(x-1) = (3x+2)/(x-1)
Since both sides are equal, the equation is true for all values of x except when x = 1 (since division by zero is undefined).