Solve 10/3+x=3/5

$$\frac{ 10 }{ 3 } +x = \frac{ 3 }{ 5 }$$

Solve for x

$$x = -\frac{41}{15} = -2\frac{11}{15} \approx -2.733333333$$

Steps for Solving Linear Equation

Subtract \frac{10}{3} from both sides.

$$x=\frac{3}{5}-\frac{10}{3}$$

Least common multiple of 5 and 3 is 15. Convert \frac{3}{5} and \frac{10}{3} to fractions with denominator 15.

$$x=\frac{9}{15}-\frac{50}{15}$$

Since \frac{9}{15} and \frac{50}{15} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{9-50}{15}$$

Subtract 50 from 9 to get -41.

$$x=-\frac{41}{15}$$