Solve -6/3=-6/x+2

$$\frac{ -6 }{ 3 } = \frac{ -6 }{ x+2 }$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

Variable x cannot be equal to -2 since division by zero is not defined. Multiply both sides of the equation by 3\left(x+2\right), the least common multiple of 3,x+2.

$$\left(x+2\right)\left(-6\right)=3\left(-6\right)$$

Use the distributive property to multiply x+2 by -6.

$$-6x-12=3\left(-6\right)$$

Multiply 3 and -6 to get -18.

$$-6x-12=-18$$

Add 12 to both sides.

$$-6x=-18+12$$

Add -18 and 12 to get -6.

$$-6x=-6$$

Divide both sides by -6.

$$x=\frac{-6}{-6}$$

Divide -6 by -6 to get 1.

$$x=1$$