Solve x-50/x=1/1.5

$$\frac { x - 50 } { x } = \frac { 1 } { 1.5 }$$

Solve for x

$$x=150$$

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.

$$x-50=x\times \frac{1}{1.5}$$

Expand \frac{1}{1.5} by multiplying both numerator and the denominator by 10.

$$x-50=x\times \frac{10}{15}$$

Reduce the fraction \frac{10}{15} to lowest terms by extracting and canceling out 5.

$$x-50=x\times \frac{2}{3}$$

Subtract x\times \frac{2}{3} from both sides.

$$x-50-x\times \frac{2}{3}=0$$

Combine x and -x\times \frac{2}{3} to get \frac{1}{3}x.

$$\frac{1}{3}x-50=0$$

Add 50 to both sides. Anything plus zero gives itself.

$$\frac{1}{3}x=50$$

Multiply both sides by 3, the reciprocal of \frac{1}{3}.

$$x=50\times 3$$

Multiply 50 and 3 to get 150.

$$x=150$$