Solve 10left(x+1/3right)=1/4

$$10 \left( x+ \frac{ 1 }{ 3 } \right) = \frac{ 1 }{ 4 }$$

Solve for x

$$x=-\frac{37}{120}\approx -0.308333333$$

Steps for Solving Linear Equation

Divide both sides by 10.

$$x+\frac{1}{3}=\frac{\frac{1}{4}}{10}$$

Express \frac{\frac{1}{4}}{10} as a single fraction.

$$x+\frac{1}{3}=\frac{1}{4\times 10}$$

Multiply 4 and 10 to get 40.

$$x+\frac{1}{3}=\frac{1}{40}$$

Subtract \frac{1}{3} from both sides.

$$x=\frac{1}{40}-\frac{1}{3}$$

Least common multiple of 40 and 3 is 120. Convert \frac{1}{40} and \frac{1}{3} to fractions with denominator 120.

$$x=\frac{3}{120}-\frac{40}{120}$$

Since \frac{3}{120} and \frac{40}{120} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{3-40}{120}$$

Subtract 40 from 3 to get -37.

$$x=-\frac{37}{120}$$