Solve 2/5+1/3+1/6+10/1=x

$$\frac{ 2 }{ 5 } + \frac{ 1 }{ 3 } + \frac{ 1 }{ 6 } + \frac{ 10 }{ 1 } = x$$

Solve for x

$$x = \frac{109}{10} = 10\frac{9}{10} = 10.9$$

Steps for Solving Linear Equation

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

$$\frac{6}{15}+\frac{5}{15}+\frac{1}{6}+\frac{10}{1}=x$$

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

$$\frac{6+5}{15}+\frac{1}{6}+\frac{10}{1}=x$$

Add 6 and 5 to get 11.

$$\frac{11}{15}+\frac{1}{6}+\frac{10}{1}=x$$

Least common multiple of 15 and 6 is 30. Convert \frac{11}{15} and \frac{1}{6} to fractions with denominator 30.

$$\frac{22}{30}+\frac{5}{30}+\frac{10}{1}=x$$

Since \frac{22}{30} and \frac{5}{30} have the same denominator, add them by adding their numerators.

$$\frac{22+5}{30}+\frac{10}{1}=x$$

Add 22 and 5 to get 27.

$$\frac{27}{30}+\frac{10}{1}=x$$

Reduce the fraction \frac{27}{30} to lowest terms by extracting and canceling out 3.

$$\frac{9}{10}+\frac{10}{1}=x$$

Anything divided by one gives itself.

$$\frac{9}{10}+10=x$$

Convert 10 to fraction \frac{100}{10}.

$$\frac{9}{10}+\frac{100}{10}=x$$

Since \frac{9}{10} and \frac{100}{10} have the same denominator, add them by adding their numerators.

$$\frac{9+100}{10}=x$$

Add 9 and 100 to get 109.

$$\frac{109}{10}=x$$

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

$$x=\frac{109}{10}$$