Exercise
$\frac{2x-3}{1-x}-1=\frac{4x+4}{1-x}+x$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the rational equation (2x-3)/(1-x)-1=(4x+4)/(1-x)+x. We need to isolate the dependent variable x, we can do that by simultaneously subtracting -1 from both sides of the equation. Multiply both sides of the equation by 1-x. Combine all terms into a single fraction with 1-x as common denominator. Solve the product of difference of squares \left(x+1\right)\left(1-x\right).
Solve the rational equation (2x-3)/(1-x)-1=(4x+4)/(1-x)+x
Final answer to the exercise
$x=-2,\:x=4$