Solve 1/10+1/x=1/6

$$\frac { 1 } { 10 } + \frac { 1 } { x } = \frac { 1 } { 6 }$$

Solve for x

$$x=15$$

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 30x, the least common multiple of 10,x,6.

$$30x\times \frac{1}{10}+30=5x$$

Multiply 30 and \frac{1}{10} to get \frac{30}{10}.

$$\frac{30}{10}x+30=5x$$

Divide 30 by 10 to get 3.

$$3x+30=5x$$

Subtract 5x from both sides.

$$3x+30-5x=0$$

Combine 3x and -5x to get -2x.

$$-2x+30=0$$

Subtract 30 from both sides. Anything subtracted from zero gives its negation.

$$-2x=-30$$

Divide both sides by -2.

$$x=\frac{-30}{-2}$$

Divide -30 by -2 to get 15.

$$x=15$$