Solve 165^circ=(x-2)/x*180^circ

$$165 ^ { \circ } = \frac { ( x - 2 ) } { x } \times 180 ^ { \circ }$$

Solve for x

$$x=24$$

Steps for Solving Linear Equation

Divide both sides by 180.

$$\frac{165}{180}=\frac{x-2}{x}$$

Reduce the fraction \frac{165}{180} to lowest terms by extracting and canceling out 15.

$$\frac{11}{12}=\frac{x-2}{x}$$

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 12x, the least common multiple of 12,x.

$$11x=12\left(x-2\right)$$

Use the distributive property to multiply 12 by x-2.

$$11x=12x-24$$

Subtract 12x from both sides.

$$11x-12x=-24$$

Combine 11x and -12x to get -x.

$$-x=-24$$

Multiply both sides by -1.

$$x=24$$