Solve 1/60+1/x=1/26

$$\frac { 1 } { 60 } + \frac { 1 } { x } = \frac { 1 } { 26 }$$

Solve for x

$$x = \frac{780}{17} = 45\frac{15}{17} \approx 45.882352941$$

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 780x, the least common multiple of 60,x,26.

$$780x\times \frac{1}{60}+780=30x$$

Multiply 780 and \frac{1}{60} to get \frac{780}{60}.

$$\frac{780}{60}x+780=30x$$

Divide 780 by 60 to get 13.

$$13x+780=30x$$

Subtract 30x from both sides.

$$13x+780-30x=0$$

Combine 13x and -30x to get -17x.

$$-17x+780=0$$

Subtract 780 from both sides. Anything subtracted from zero gives its negation.

$$-17x=-780$$

Divide both sides by -17.

$$x=\frac{-780}{-17}$$

Fraction \frac{-780}{-17} can be simplified to \frac{780}{17} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{780}{17}$$