# 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

Simplify, dividing both sides of the equality by $1$

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

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

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

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

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

Grouping terms

$2x-2-3x=3$
7

Adding $2x$ and $-3x$

$-x-2=3$
8

Subtract $-2$ from both sides of the equation

$-x=5$
9

Divide both sides of the equation by $-1$

$x=-5$

$x=-5$