Solve 60*1+1/5/x-60/x=1

$$60 \times \frac { 1 + \frac { 1 } { 5 } } { x } - \frac { 60 } { x } = 1$$

Solve for x

$$x=12$$

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.

$$60\left(1+\frac{1}{5}\right)-60=x$$

Convert 1 to fraction \frac{5}{5}.

$$60\left(\frac{5}{5}+\frac{1}{5}\right)-60=x$$

Since \frac{5}{5} and \frac{1}{5} have the same denominator, add them by adding their numerators.

$$60\times \frac{5+1}{5}-60=x$$

Add 5 and 1 to get 6.

$$60\times \frac{6}{5}-60=x$$

Express 60\times \frac{6}{5} as a single fraction.

$$\frac{60\times 6}{5}-60=x$$

Multiply 60 and 6 to get 360.

$$\frac{360}{5}-60=x$$

Divide 360 by 5 to get 72.

$$72-60=x$$

Subtract 60 from 72 to get 12.

$$12=x$$

Swap sides so that all variable terms are on the left hand side.

$$x=12$$