Solve 1/40+1/x=1/80

$$\frac { 1 } { 40 } + \frac { 1 } { x } = \frac { 1 } { 80 }$$

Solve for x

$$x=-80$$

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 80x, the least common multiple of 40,x,80.

$$80x\times \frac{1}{40}+80=x$$

Multiply 80 and \frac{1}{40} to get \frac{80}{40}.

$$\frac{80}{40}x+80=x$$

Divide 80 by 40 to get 2.

$$2x+80=x$$

Subtract x from both sides.

$$2x+80-x=0$$

Combine 2x and -x to get x.

$$x+80=0$$

Subtract 80 from both sides. Anything subtracted from zero gives its negation.

$$x=-80$$