Solve -36/x+1/3=-1

$$\frac { - 36 } { x } + \frac { 1 } { 3 } = - 1$$

Solve for x

$$x=27$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 3x, the least common multiple of x,3.

$$3\left(-36\right)+3x\times \frac{1}{3}=-3x$$

Multiply 3 and -36 to get -108.

$$-108+3x\times \frac{1}{3}=-3x$$

Cancel out 3 and 3.

$$-108+x=-3x$$

Add 3x to both sides.

$$-108+x+3x=0$$

Combine x and 3x to get 4x.

$$-108+4x=0$$

Add 108 to both sides. Anything plus zero gives itself.

$$4x=108$$

Divide both sides by 4.

$$x=\frac{108}{4}$$

Divide 108 by 4 to get 27.

$$x=27$$