Solve 1/2x-4/5=1/3

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

Solve for x

$$x = \frac{34}{15} = 2\frac{4}{15} \approx 2.266666667$$

Steps for Solving Linear Equation

Add \frac{4}{5} to both sides.

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

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

$$\frac{1}{2}x=\frac{5}{15}+\frac{12}{15}$$

Since \frac{5}{15} and \frac{12}{15} have the same denominator, add them by adding their numerators.

$$\frac{1}{2}x=\frac{5+12}{15}$$

Add 5 and 12 to get 17.

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

Multiply both sides by 2, the reciprocal of \frac{1}{2}.

$$x=\frac{17}{15}\times 2$$

Express \frac{17}{15}\times 2 as a single fraction.

$$x=\frac{17\times 2}{15}$$

Multiply 17 and 2 to get 34.

$$x=\frac{34}{15}$$