Solve 5e/x=100/8

$$\frac { 5 e } { x } = \frac { 100 } { 8 }$$

Solve for x

$$x=\frac{2e}{5}\approx 1.087312731$$

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 8x, the least common multiple of x,8.

$$8\times 5e=x\times 100$$

Multiply 8 and 5 to get 40.

$$40e=x\times 100$$

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

$$x\times 100=40e$$

The equation is in standard form.

$$100x=40e$$

Divide both sides by 100.

$$\frac{100x}{100}=\frac{40e}{100}$$

Dividing by 100 undoes the multiplication by 100.

$$x=\frac{40e}{100}$$

Divide 40e by 100.

$$x=\frac{2e}{5}$$

Variable x cannot be equal to 0.

$$x=\frac{2e}{5}\text{, }x\neq 0$$