Solve 2x-1/7=5/3

$$2 x - \frac { 1 } { 7 } = \frac { 5 } { 3 }$$

Solve for x

$$x=\frac{19}{21}\approx 0.904761905$$

Steps for Solving Linear Equation

Add \frac{1}{7} to both sides.

$$2x=\frac{5}{3}+\frac{1}{7}$$

Least common multiple of 3 and 7 is 21. Convert \frac{5}{3} and \frac{1}{7} to fractions with denominator 21.

$$2x=\frac{35}{21}+\frac{3}{21}$$

Since \frac{35}{21} and \frac{3}{21} have the same denominator, add them by adding their numerators.

$$2x=\frac{35+3}{21}$$

Add 35 and 3 to get 38.

$$2x=\frac{38}{21}$$

Divide both sides by 2.

$$x=\frac{\frac{38}{21}}{2}$$

Express \frac{\frac{38}{21}}{2} as a single fraction.

$$x=\frac{38}{21\times 2}$$

Multiply 21 and 2 to get 42.

$$x=\frac{38}{42}$$

Reduce the fraction \frac{38}{42} to lowest terms by extracting and canceling out 2.

$$x=\frac{19}{21}$$