Solve 197/255-(x+25/235)=34/235

$$\frac { 197 } { 255 } - ( x + \frac { 25 } { 235 } ) = \frac { 34 } { 235 }$$

Solve for x

$$x=\frac{1250}{2397}\approx 0.52148519$$

Steps for Solving Linear Equation

Reduce the fraction \frac{25}{235} to lowest terms by extracting and canceling out 5.

$$\frac{197}{255}-\left(x+\frac{5}{47}\right)=\frac{34}{235}$$

To find the opposite of x+\frac{5}{47}, find the opposite of each term.

$$\frac{197}{255}-x-\frac{5}{47}=\frac{34}{235}$$

Least common multiple of 255 and 47 is 11985. Convert \frac{197}{255} and \frac{5}{47} to fractions with denominator 11985.

$$\frac{9259}{11985}-x-\frac{1275}{11985}=\frac{34}{235}$$

Since \frac{9259}{11985} and \frac{1275}{11985} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9259-1275}{11985}-x=\frac{34}{235}$$

Subtract 1275 from 9259 to get 7984.

$$\frac{7984}{11985}-x=\frac{34}{235}$$

Subtract \frac{7984}{11985} from both sides.

$$-x=\frac{34}{235}-\frac{7984}{11985}$$

Least common multiple of 235 and 11985 is 11985. Convert \frac{34}{235} and \frac{7984}{11985} to fractions with denominator 11985.

$$-x=\frac{1734}{11985}-\frac{7984}{11985}$$

Since \frac{1734}{11985} and \frac{7984}{11985} have the same denominator, subtract them by subtracting their numerators.

$$-x=\frac{1734-7984}{11985}$$

Subtract 7984 from 1734 to get -6250.

$$-x=\frac{-6250}{11985}$$

Reduce the fraction \frac{-6250}{11985} to lowest terms by extracting and canceling out 5.

$$-x=-\frac{1250}{2397}$$

Multiply both sides by -1.

$$x=\frac{1250}{2397}$$