Solve 150/x=120/86.5

$$\frac { 150 } { x } = \frac { 120 } { 86.5 }$$

Solve for x

$$x=108.125$$

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.

$$150=x\times \frac{120}{86.5}$$

Expand \frac{120}{86.5} by multiplying both numerator and the denominator by 10.

$$150=x\times \frac{1200}{865}$$

Reduce the fraction \frac{1200}{865} to lowest terms by extracting and canceling out 5.

$$150=x\times \frac{240}{173}$$

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

$$x\times \frac{240}{173}=150$$

Multiply both sides by \frac{173}{240}, the reciprocal of \frac{240}{173}.

$$x=150\times \frac{173}{240}$$

Express 150\times \frac{173}{240} as a single fraction.

$$x=\frac{150\times 173}{240}$$

Multiply 150 and 173 to get 25950.

$$x=\frac{25950}{240}$$

Reduce the fraction \frac{25950}{240} to lowest terms by extracting and canceling out 30.

$$x=\frac{865}{8}$$