Solve 10x+4/3=7/5

$$10x+ \frac{ 4 }{ 3 } = \frac{ 7 }{ 5 }$$

Solve for x

$$x=\frac{1}{150}\approx 0.006666667$$

Steps for Solving Linear Equation

Subtract \frac{4}{3} from both sides.

$$10x=\frac{7}{5}-\frac{4}{3}$$

Least common multiple of 5 and 3 is 15. Convert \frac{7}{5} and \frac{4}{3} to fractions with denominator 15.

$$10x=\frac{21}{15}-\frac{20}{15}$$

Since \frac{21}{15} and \frac{20}{15} have the same denominator, subtract them by subtracting their numerators.

$$10x=\frac{21-20}{15}$$

Subtract 20 from 21 to get 1.

$$10x=\frac{1}{15}$$

Divide both sides by 10.

$$x=\frac{\frac{1}{15}}{10}$$

Express \frac{\frac{1}{15}}{10} as a single fraction.

$$x=\frac{1}{15\times 10}$$

Multiply 15 and 10 to get 150.

$$x=\frac{1}{150}$$