How to solve 2-(x)/(x+2y)

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)/(x+2y) | Equatix

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$$2- \frac{ x }{ x+2y }$$

$\frac{x+4y}{x+2y}$

To add or subtract expressions, expand them to make their denominators the same. Multiply $2$ times $\frac{x+2y}{x+2y}$.

$$\frac{2\left(x+2y\right)}{x+2y}-\frac{x}{x+2y}$$

Since $\frac{2\left(x+2y\right)}{x+2y}$ and $\frac{x}{x+2y}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{2\left(x+2y\right)-x}{x+2y}$$

Do the multiplications in $2\left(x+2y\right)-x$.

$$\frac{2x+4y-x}{x+2y}$$

Combine like terms in $2x+4y-x$.

$$\frac{x+4y}{x+2y}$$

$-\frac{2y}{\left(x+2y\right)^{2}}$