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Rational equations Calculator

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1

Solved example of rational equations

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

Apply fraction cross-multiplication

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

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

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

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

$2x+2-1=3x+3\cdot 1$

Any expression multiplied by $1$ is equal to itself

$3$
3

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

$2x+2-1=3x+3$
4

Multiply $2$ times $-1$

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

Grouping terms

$2x-2-3x=3$

Add the values $2$ and $-3$

$-x$
6

Adding $2x$ and $-3x$

$-x-2=3$
7

Subtract $-2$ from both sides of the equation

$-x=3+2$
8

Add the values $3$ and $2$

$-x=5$
9

Divide both sides of the equation by $-1$

$x=\frac{5}{-1}$
10

Divide $5$ by $-1$

$x=-5$

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