Solving a rational equation
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4. $\frac{7}{3x - 1} - \frac{2}{2x - 3} = \frac{-5}{2x - 3} + \frac{4}{3x - 1}$
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Solving Rational Equation #4
We start with the equation seven over three x minus one minus two over two x minus three equals negative five over two x minus three plus four over three x minus one.
Our strategy is to group the terms with the same denominators on opposite sides of the equals sign.
Grouping Terms
Now, let's perform the subtraction on the left side and the addition on the right side.
Combining Fractions
Since both sides have a factor of three in the numerator, we can divide both sides by three to simplify.
Simplifying
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