Solve 7.5/30=120-115.95/x

$$\frac { 7.5 } { 30 } = \frac { 120 - 115.95 } { x }$$

Solve for x

$$x=16.2$$

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 30x, the least common multiple of 30,x.

$$x\times 7.5=30\left(120-115.95\right)$$

Subtract 115.95 from 120 to get 4.05.

$$x\times 7.5=30\times 4.05$$

Multiply 30 and 4.05 to get 121.5.

$$x\times 7.5=121.5$$

Divide both sides by 7.5.

$$x=\frac{121.5}{7.5}$$

Expand \frac{121.5}{7.5} by multiplying both numerator and the denominator by 10.

$$x=\frac{1215}{75}$$

Reduce the fraction \frac{1215}{75} to lowest terms by extracting and canceling out 15.

$$x=\frac{81}{5}$$