Solve 4E/x+90=1/4

$$\frac{ 4E }{ x+90 } = \frac{ 1 }{ 4 }$$

Solve for E

$$E=\frac{x+90}{16}$$

$$x\neq -90$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4\left(x+90\right), the least common multiple of x+90,4.

$$4\times 4E=x+90$$

Multiply 4 and 4 to get 16.

$$16E=x+90$$

Divide both sides by 16.

$$\frac{16E}{16}=\frac{x+90}{16}$$

Dividing by 16 undoes the multiplication by 16.

$$E=\frac{x+90}{16}$$

Divide x+90 by 16.

$$E=\frac{x}{16}+\frac{45}{8}$$

Solve for x

$$x=16E-90$$

$$E\neq 0$$

Solution Steps

Variable x cannot be equal to -90 since division by zero is not defined. Multiply both sides of the equation by 4\left(x+90\right), the least common multiple of x+90,4.

$$4\times 4E=x+90$$

Multiply 4 and 4 to get 16.

$$16E=x+90$$

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

$$x+90=16E$$

Subtract 90 from both sides.

$$x=16E-90$$

Variable x cannot be equal to -90.

$$x=16E-90\text{, }x\neq -90$$