Solve 1/5+1/3+2/5-150=x

$$\frac { 1 } { 5 } + \frac { 1 } { 3 } + \frac { 2 } { 5 } - 150 = x$$

Solve for x

$$x = -\frac{2236}{15} = -149\frac{1}{15} \approx -149.066666667$$

Steps for Solving Linear Equation

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

$$\frac{3}{15}+\frac{5}{15}+\frac{2}{5}-150=x$$

Since \frac{3}{15} and \frac{5}{15} have the same denominator, add them by adding their numerators.

$$\frac{3+5}{15}+\frac{2}{5}-150=x$$

Add 3 and 5 to get 8.

$$\frac{8}{15}+\frac{2}{5}-150=x$$

Least common multiple of 15 and 5 is 15. Convert \frac{8}{15} and \frac{2}{5} to fractions with denominator 15.

$$\frac{8}{15}+\frac{6}{15}-150=x$$

Since \frac{8}{15} and \frac{6}{15} have the same denominator, add them by adding their numerators.

$$\frac{8+6}{15}-150=x$$

Add 8 and 6 to get 14.

$$\frac{14}{15}-150=x$$

Convert 150 to fraction \frac{2250}{15}.

$$\frac{14}{15}-\frac{2250}{15}=x$$

Since \frac{14}{15} and \frac{2250}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{14-2250}{15}=x$$

Subtract 2250 from 14 to get -2236.

$$-\frac{2236}{15}=x$$

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

$$x=-\frac{2236}{15}$$