Solve 2/1+5/6+8/3=x

$$\frac{ 2 }{ 1 } + \frac{ 5 }{ 6 } + \frac{ 8 }{ 3 } =x$$

Solve for x

$$x = \frac{11}{2} = 5\frac{1}{2} = 5.5$$

Steps for Solving Linear Equation

Anything divided by one gives itself.

$$2+\frac{5}{6}+\frac{8}{3}=x$$

Convert 2 to fraction \frac{12}{6}.

$$\frac{12}{6}+\frac{5}{6}+\frac{8}{3}=x$$

Since \frac{12}{6} and \frac{5}{6} have the same denominator, add them by adding their numerators.

$$\frac{12+5}{6}+\frac{8}{3}=x$$

Add 12 and 5 to get 17.

$$\frac{17}{6}+\frac{8}{3}=x$$

Least common multiple of 6 and 3 is 6. Convert \frac{17}{6} and \frac{8}{3} to fractions with denominator 6.

$$\frac{17}{6}+\frac{16}{6}=x$$

Since \frac{17}{6} and \frac{16}{6} have the same denominator, add them by adding their numerators.

$$\frac{17+16}{6}=x$$

Add 17 and 16 to get 33.

$$\frac{33}{6}=x$$

Reduce the fraction \frac{33}{6} to lowest terms by extracting and canceling out 3.

$$\frac{11}{2}=x$$

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

$$x=\frac{11}{2}$$