Solve -k+2/k+4=2

$$- \frac { k + 2 } { k + 4 } = 2$$

Solve for k

$$k = -\frac{10}{3} = -3\frac{1}{3} \approx -3.333333333$$

Steps for Solving Linear Equation

Variable k cannot be equal to -4 since division by zero is not defined. Multiply both sides of the equation by k+4.

$$-\left(k+2\right)=2\left(k+4\right)$$

To find the opposite of k+2, find the opposite of each term.

$$-k-2=2\left(k+4\right)$$

Use the distributive property to multiply 2 by k+4.

$$-k-2=2k+8$$

Subtract 2k from both sides.

$$-k-2-2k=8$$

Combine -k and -2k to get -3k.

$$-3k-2=8$$

Add 2 to both sides.

$$-3k=8+2$$

Add 8 and 2 to get 10.

$$-3k=10$$

Divide both sides by -3.

$$k=\frac{10}{-3}$$

Fraction \frac{10}{-3} can be rewritten as -\frac{10}{3} by extracting the negative sign.

$$k=-\frac{10}{3}$$