Solve 1/5+8/x=1

$$\frac { 1 } { 5 } + \frac { 8 } { x } = 1$$

Solve for x

$$x=10$$

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 5x, the least common multiple of 5,x.

$$5x\times \frac{1}{5}+5\times 8=5x$$

Cancel out 5 and 5.

$$x+5\times 8=5x$$

Multiply 5 and 8 to get 40.

$$x+40=5x$$

Subtract 5x from both sides.

$$x+40-5x=0$$

Combine x and -5x to get -4x.

$$-4x+40=0$$

Subtract 40 from both sides. Anything subtracted from zero gives its negation.

$$-4x=-40$$

Divide both sides by -4.

$$x=\frac{-40}{-4}$$

Divide -40 by -4 to get 10.

$$x=10$$