Solve 1/40+1/70+1/10=1/x

$$\frac { 1 } { 40 } + \frac { 1 } { 70 } + \frac { 1 } { 10 } = \frac { 1 } { x }$$

Solve for x

$$x = \frac{280}{39} = 7\frac{7}{39} \approx 7.179487179$$

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 280x, the least common multiple of 40,70,10,x.

$$280x\times \frac{1}{40}+280x\times \frac{1}{70}+280x\times \frac{1}{10}=280$$

Multiply 280 and \frac{1}{40} to get \frac{280}{40}.

$$\frac{280}{40}x+280x\times \frac{1}{70}+280x\times \frac{1}{10}=280$$

Divide 280 by 40 to get 7.

$$7x+280x\times \frac{1}{70}+280x\times \frac{1}{10}=280$$

Multiply 280 and \frac{1}{70} to get \frac{280}{70}.

$$7x+\frac{280}{70}x+280x\times \frac{1}{10}=280$$

Divide 280 by 70 to get 4.

$$7x+4x+280x\times \frac{1}{10}=280$$

Combine 7x and 4x to get 11x.

$$11x+280x\times \frac{1}{10}=280$$

Multiply 280 and \frac{1}{10} to get \frac{280}{10}.

$$11x+\frac{280}{10}x=280$$

Divide 280 by 10 to get 28.

$$11x+28x=280$$

Combine 11x and 28x to get 39x.

$$39x=280$$

Divide both sides by 39.

$$x=\frac{280}{39}$$