Solve 30-18.628/x=18.628/75

$$\frac { 30 - 18.628 } { x } = \frac { 18.628 } { 75 }$$

Solve for x

$$x = \frac{213225}{4657} = 45\frac{3660}{4657} \approx 45.785913678$$

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 75x, the least common multiple of x,75.

$$75\left(30-18.628\right)=x\times 18.628$$

Subtract 18.628 from 30 to get 11.372.

$$75\times 11.372=x\times 18.628$$

Multiply 75 and 11.372 to get 852.9.

$$852.9=x\times 18.628$$

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

$$x\times 18.628=852.9$$

Divide both sides by 18.628.

$$x=\frac{852.9}{18.628}$$

Expand \frac{852.9}{18.628} by multiplying both numerator and the denominator by 1000.

$$x=\frac{852900}{18628}$$

Reduce the fraction \frac{852900}{18628} to lowest terms by extracting and canceling out 4.

$$x=\frac{213225}{4657}$$