Solve 3x-1/11=1/7

$$3 x - \frac { 1 } { 11 } = \frac { 1 } { 7 }$$

Solve for x

$$x=\frac{6}{77}\approx 0.077922078$$

Steps for Solving Linear Equation

Add \frac{1}{11} to both sides.

$$3x=\frac{1}{7}+\frac{1}{11}$$

Least common multiple of 7 and 11 is 77. Convert \frac{1}{7} and \frac{1}{11} to fractions with denominator 77.

$$3x=\frac{11}{77}+\frac{7}{77}$$

Since \frac{11}{77} and \frac{7}{77} have the same denominator, add them by adding their numerators.

$$3x=\frac{11+7}{77}$$

Add 11 and 7 to get 18.

$$3x=\frac{18}{77}$$

Divide both sides by 3.

$$x=\frac{\frac{18}{77}}{3}$$

Express \frac{\frac{18}{77}}{3} as a single fraction.

$$x=\frac{18}{77\times 3}$$

Multiply 77 and 3 to get 231.

$$x=\frac{18}{231}$$

Reduce the fraction \frac{18}{231} to lowest terms by extracting and canceling out 3.

$$x=\frac{6}{77}$$