Solve left(x-2right)180/x=3*360+180

$$\frac{ \left( x-2 \right) 180 }{ x } = 3 \cdot 360+180$$

Solve for x

$$x=-\frac{1}{3}\approx -0.333333333$$

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 x.

$$\left(x-2\right)\times 180=3\times 360x+x\times 180$$

Use the distributive property to multiply x-2 by 180.

$$180x-360=3\times 360x+x\times 180$$

Multiply 3 and 360 to get 1080.

$$180x-360=1080x+x\times 180$$

Combine 1080x and x\times 180 to get 1260x.

$$180x-360=1260x$$

Subtract 1260x from both sides.

$$180x-360-1260x=0$$

Combine 180x and -1260x to get -1080x.

$$-1080x-360=0$$

Add 360 to both sides. Anything plus zero gives itself.

$$-1080x=360$$

Divide both sides by -1080.

$$x=\frac{360}{-1080}$$

Reduce the fraction \frac{360}{-1080} to lowest terms by extracting and canceling out 360.

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