You can put this solution on YOUR website! (x)/(x)+1-2=(3)/(x)-3
Find the LCD (least common denominator) of (x)/(x)+1-2+(3)/(x)-3.
Least common denominator: x
Multiply each term in the equation by x in order to remove all the denominators from the equation.
(x)/(x)*x+1*x-2*x=(3)/(x)*x-3*x
Simplify the left-hand side of the equation by canceling the common terms.
0=(3)/(x)*x-3*x
Simplify the right-hand side of the equation by simplifying each term.
0=-3x+3
Since x is on the right-hand side of the equation, switch the sides so it is on the left-hand side of the equation.
-3x+3=0
Since 3 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 3 from both sides.
-3x=-3
Divide each term in the equation by -3.
-(3x)/(-3)=-(3)/(-3)
Simplify the left-hand side of the equation by canceling the common terms.
x=-(3)/(-3)
Simplify the right-hand side of the equation by simplifying each term.
Answer: x=1
please help me solve this equation: x/x+1-2=3/x-3
*************************************************, with
x(x - 3) - 2(x + 1)(x - 3) = 3(x + 1) ---- Multiplying by LCD, (x + 1)(x - 3)
(x - 1)(x + 3) = 0 --- Factorizing the trinomial
x - 1 = 0 OR x + 3 = 0 --- Equating each binomial to 0
x = 1 OR x = - 3
Neither of the 2 solutions is - 1 or 3, so BOTH are VALID!
