How to solve 2/x-3+5/x

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve 2/x-3+5/x | Equatix

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$$2/x-3+5/x$$

$-3+\frac{7}{x}$

To add or subtract expressions, expand them to make their denominators the same. Multiply $3$ times $\frac{x}{x}$.

$$\frac{2}{x}-\frac{3x}{x}+\frac{5}{x}$$

Since $\frac{2}{x}$ and $\frac{3x}{x}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{2-3x}{x}+\frac{5}{x}$$

Since $\frac{2-3x}{x}$ and $\frac{5}{x}$ have the same denominator, add them by adding their numerators.

$$\frac{2-3x+5}{x}$$

Combine like terms in $2-3x+5$.

$$\frac{7-3x}{x}$$

$-\frac{3x-7}{x}$