Solve x-2/3(2.2)+5/3(1)=4/3

$$x - \frac { 2 } { 3 } ( 2.2 ) + \frac { 5 } { 3 } ( 1 ) = \frac { 4 } { 3 }$$

Solve for x

$$x = \frac{17}{15} = 1\frac{2}{15} \approx 1.133333333$$

Steps for Solving Linear Equation

Convert decimal number 2.2 to fraction \frac{22}{10}. Reduce the fraction \frac{22}{10} to lowest terms by extracting and canceling out 2.

$$x-\frac{2}{3}\times \frac{11}{5}+\frac{5}{3}\times 1=\frac{4}{3}$$

Multiply \frac{2}{3} times \frac{11}{5} by multiplying numerator times numerator and denominator times denominator.

$$x-\frac{2\times 11}{3\times 5}+\frac{5}{3}\times 1=\frac{4}{3}$$

Do the multiplications in the fraction \frac{2\times 11}{3\times 5}.

$$x-\frac{22}{15}+\frac{5}{3}\times 1=\frac{4}{3}$$

Multiply \frac{5}{3} and 1 to get \frac{5}{3}.

$$x-\frac{22}{15}+\frac{5}{3}=\frac{4}{3}$$

Least common multiple of 15 and 3 is 15. Convert -\frac{22}{15} and \frac{5}{3} to fractions with denominator 15.

$$x-\frac{22}{15}+\frac{25}{15}=\frac{4}{3}$$

Since -\frac{22}{15} and \frac{25}{15} have the same denominator, add them by adding their numerators.

$$x+\frac{-22+25}{15}=\frac{4}{3}$$

Add -22 and 25 to get 3.

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

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

$$x+\frac{1}{5}=\frac{4}{3}$$

Subtract \frac{1}{5} from both sides.

$$x=\frac{4}{3}-\frac{1}{5}$$

Least common multiple of 3 and 5 is 15. Convert \frac{4}{3} and \frac{1}{5} to fractions with denominator 15.

$$x=\frac{20}{15}-\frac{3}{15}$$

Since \frac{20}{15} and \frac{3}{15} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{20-3}{15}$$

Subtract 3 from 20 to get 17.

$$x=\frac{17}{15}$$