Solve 1/3+2/5-x=12

$$\frac { 1 } { 3 } + \frac { 2 } { 5 } - x = 12$$

Solve for x

$$x = -\frac{169}{15} = -11\frac{4}{15} \approx -11.266666667$$

Steps for Solving Linear Equation

Least common multiple of 3 and 5 is 15. Convert \frac{1}{3} and \frac{2}{5} to fractions with denominator 15.

$$\frac{5}{15}+\frac{6}{15}-x=12$$

Since \frac{5}{15} and \frac{6}{15} have the same denominator, add them by adding their numerators.

$$\frac{5+6}{15}-x=12$$

Add 5 and 6 to get 11.

$$\frac{11}{15}-x=12$$

Subtract \frac{11}{15} from both sides.

$$-x=12-\frac{11}{15}$$

Convert 12 to fraction \frac{180}{15}.

$$-x=\frac{180}{15}-\frac{11}{15}$$

Since \frac{180}{15} and \frac{11}{15} have the same denominator, subtract them by subtracting their numerators.

$$-x=\frac{180-11}{15}$$

Subtract 11 from 180 to get 169.

$$-x=\frac{169}{15}$$

Multiply both sides by -1.

$$x=-\frac{169}{15}$$