Solve 2/7[180(x-2)/x]=360/x

$$\frac { 2 } { 7 } [ \frac { 180 ( x - 2 ) } { x } ] = \frac { 360 } { x }$$

Solve for x

$$x=9$$

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 7x, the least common multiple of 7,x.

$$\frac{2}{7}\times 7\times 180\left(x-2\right)=7\times 360$$

Cancel out 7 and 7.

$$2\times 180\left(x-2\right)=7\times 360$$

Multiply 2 and 180 to get 360.

$$360\left(x-2\right)=7\times 360$$

Use the distributive property to multiply 360 by x-2.

$$360x-720=7\times 360$$

Multiply 7 and 360 to get 2520.

$$360x-720=2520$$

Add 720 to both sides.

$$360x=2520+720$$

Add 2520 and 720 to get 3240.

$$360x=3240$$

Divide both sides by 360.

$$x=\frac{3240}{360}$$

Divide 3240 by 360 to get 9.

$$x=9$$