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# Rational equations Calculator

## Get detailed solutions to your math problems with our Rational equations step-by-step calculator. Practice your math skills and learn step by step with our math solver. Check out all of our online calculators here!

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### Difficult Problems

1

Solved example of rational equations

$\frac{2}{x+1}=\frac{3}{x-1}$
2

Apply fraction cross-multiplication

$2\left(x-1\right)=3\left(x+1\right)$
3

Grouping all terms to the left side of the equation

$2\left(x-1\right)-3\left(x+1\right)=0$
4

Solve the product $2\left(x-1\right)$

$2x-2-3\left(x+1\right)=0$
5

Solve the product $-3\left(x+1\right)$

$-5+2x-3x=0$
6

Adding $2x$ and $-3x$

$-x-5=0$
7

We need to isolate the dependent variable $x$, we can do that by subtracting $-5$ from both sides of the equation

$-x=5$
8

Divide both sides of the equation by $-1$

$x=-5$

$x=-5$