Solve x=2/3+4/5+4/3

$$x = \frac { 2 } { 3 } + \frac { 4 } { 5 } + \frac { 4 } { 3 }$$

Solve for x

$$x = \frac{14}{5} = 2\frac{4}{5} = 2.8$$

Steps for Solving Linear Equation

Least common multiple of 3 and 5 is 15. Convert \frac{2}{3} and \frac{4}{5} to fractions with denominator 15.

$$x=\frac{10}{15}+\frac{12}{15}+\frac{4}{3}$$

Since \frac{10}{15} and \frac{12}{15} have the same denominator, add them by adding their numerators.

$$x=\frac{10+12}{15}+\frac{4}{3}$$

Add 10 and 12 to get 22.

$$x=\frac{22}{15}+\frac{4}{3}$$

Least common multiple of 15 and 3 is 15. Convert \frac{22}{15} and \frac{4}{3} to fractions with denominator 15.

$$x=\frac{22}{15}+\frac{20}{15}$$

Since \frac{22}{15} and \frac{20}{15} have the same denominator, add them by adding their numerators.

$$x=\frac{22+20}{15}$$

Add 22 and 20 to get 42.

$$x=\frac{42}{15}$$

Reduce the fraction \frac{42}{15} to lowest terms by extracting and canceling out 3.

$$x=\frac{14}{5}$$

Assign x

$$x≔\frac{14}{5}$$