Solve 1/x=13/18-7/18

$$\frac { 1 } { x } = \frac { 13 } { 18 } - \frac { 7 } { 18 }$$

Solve for x

$$x=3$$

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 18x, the least common multiple of x,18.

$$18=18x\times \frac{13}{18}+18x\left(-\frac{7}{18}\right)$$

Cancel out 18 and 18.

$$18=13x+18x\left(-\frac{7}{18}\right)$$

Cancel out 18 and 18.

$$18=13x-7x$$

Combine 13x and -7x to get 6x.

$$18=6x$$

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

$$6x=18$$

Divide both sides by 6.

$$x=\frac{18}{6}$$

Divide 18 by 6 to get 3.

$$x=3$$