Solve x=4/3-2/3*13/5

$$x = \frac { 4 } { 3 } - \frac { 2 } { 3 } \cdot \frac { 13 } { 5 }$$

Solve for x

$$x=-\frac{2}{5}=-0.4$$

Steps for Solving Linear Equation

Multiply \frac{2}{3} times \frac{13}{5} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{4}{3}-\frac{2\times 13}{3\times 5}$$

Do the multiplications in the fraction \frac{2\times 13}{3\times 5}.

$$x=\frac{4}{3}-\frac{26}{15}$$

Least common multiple of 3 and 15 is 15. Convert \frac{4}{3} and \frac{26}{15} to fractions with denominator 15.

$$x=\frac{20}{15}-\frac{26}{15}$$

Since \frac{20}{15} and \frac{26}{15} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{20-26}{15}$$

Subtract 26 from 20 to get -6.

$$x=\frac{-6}{15}$$

Reduce the fraction \frac{-6}{15} to lowest terms by extracting and canceling out 3.

$$x=-\frac{2}{5}$$

Assign x

$$x≔-\frac{2}{5}$$