Rational equations Calculator

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asech

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Example

Solved Problems

Difficult Problems

Solved example of rational equations

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

Apply fraction cross-multiplication

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

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

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

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

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

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

$2x-2=3x+3$

Grouping terms

$2x-2-3x=3$

Adding $2x$ and $-3x$

$-x-2=3$

Subtract $-2$ from both sides of the equation

$-x=5$

Divide both sides of the equation by $-1$

$x=-5$

Answer