Solve x+0.3=3/5+1/2

$$x+0.3= \frac{ 3 }{ 5 } + \frac{ 1 }{ 2 }$$

Solve for x

$$x=0.8$$

Steps for Solving Linear Equation

Least common multiple of 5 and 2 is 10. Convert \frac{3}{5} and \frac{1}{2} to fractions with denominator 10.

$$x+0.3=\frac{6}{10}+\frac{5}{10}$$

Since \frac{6}{10} and \frac{5}{10} have the same denominator, add them by adding their numerators.

$$x+0.3=\frac{6+5}{10}$$

Add 6 and 5 to get 11.

$$x+0.3=\frac{11}{10}$$

Subtract 0.3 from both sides.

$$x=\frac{11}{10}-0.3$$

Convert decimal number 0.3 to fraction \frac{3}{10}.

$$x=\frac{11}{10}-\frac{3}{10}$$

Since \frac{11}{10} and \frac{3}{10} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{11-3}{10}$$

Subtract 3 from 11 to get 8.

$$x=\frac{8}{10}$$

Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$x=\frac{4}{5}$$