Solve 44/x=2.5E-5

$$\frac { 44 } { x } = 2.5 E - 5$$

Solve for E

$$E=2+\frac{88}{5x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by x.

$$44=2.5Ex+x\left(-5\right)$$

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

$$2.5Ex+x\left(-5\right)=44$$

Subtract x\left(-5\right) from both sides.

$$2.5Ex=44-x\left(-5\right)$$

Multiply -1 and -5 to get 5.

$$2.5Ex=44+5x$$

The equation is in standard form.

$$\frac{5x}{2}E=5x+44$$

Divide both sides by 2.5x.

$$\frac{2\times \frac{5x}{2}E}{5x}=\frac{2\left(5x+44\right)}{5x}$$

Dividing by 2.5x undoes the multiplication by 2.5x.

$$E=\frac{2\left(5x+44\right)}{5x}$$

Divide 5x+44 by 2.5x.

$$E=2+\frac{88}{5x}$$

Solve for x

$$x=-\frac{88}{5\left(2-E\right)}$$

$$E\neq 2$$

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 x.

$$44=2.5Ex+x\left(-5\right)$$

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

$$2.5Ex+x\left(-5\right)=44$$

Combine all terms containing x.

$$\left(2.5E-5\right)x=44$$

The equation is in standard form.

$$\left(\frac{5E}{2}-5\right)x=44$$

Divide both sides by 2.5E-5.

$$\frac{\left(\frac{5E}{2}-5\right)x}{\frac{5E}{2}-5}=\frac{44}{\frac{5E}{2}-5}$$

Dividing by 2.5E-5 undoes the multiplication by 2.5E-5.

$$x=\frac{44}{\frac{5E}{2}-5}$$

Variable x cannot be equal to 0.

$$x=\frac{44}{\frac{5E}{2}-5}\text{, }x\neq 0$$