Solve 1=175(1/300+x)

$$1=175( \frac{ 1 }{ 300 } +x)$$

Solve for x

$$x=\frac{1}{420}\approx 0.002380952$$

Steps for Solving Linear Equation

Divide both sides by 175.

$$\frac{1}{175}=\frac{1}{300}+x$$

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

$$\frac{1}{300}+x=\frac{1}{175}$$

Subtract \frac{1}{300} from both sides.

$$x=\frac{1}{175}-\frac{1}{300}$$

Least common multiple of 175 and 300 is 2100. Convert \frac{1}{175} and \frac{1}{300} to fractions with denominator 2100.

$$x=\frac{12}{2100}-\frac{7}{2100}$$

Since \frac{12}{2100} and \frac{7}{2100} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{12-7}{2100}$$

Subtract 7 from 12 to get 5.

$$x=\frac{5}{2100}$$

Reduce the fraction \frac{5}{2100} to lowest terms by extracting and canceling out 5.

$$x=\frac{1}{420}$$