Solve 2x+1/3=17/6

$$2 x + \frac { 1 } { 3 } = \frac { 17 } { 6 }$$

Solve for x

$$x = \frac{5}{4} = 1\frac{1}{4} = 1.25$$

Steps for Solving Linear Equation

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

$$2x=\frac{17}{6}-\frac{1}{3}$$

Least common multiple of 6 and 3 is 6. Convert \frac{17}{6} and \frac{1}{3} to fractions with denominator 6.

$$2x=\frac{17}{6}-\frac{2}{6}$$

Since \frac{17}{6} and \frac{2}{6} have the same denominator, subtract them by subtracting their numerators.

$$2x=\frac{17-2}{6}$$

Subtract 2 from 17 to get 15.

$$2x=\frac{15}{6}$$

Reduce the fraction \frac{15}{6} to lowest terms by extracting and canceling out 3.

$$2x=\frac{5}{2}$$

Divide both sides by 2.

$$x=\frac{\frac{5}{2}}{2}$$

Express \frac{\frac{5}{2}}{2} as a single fraction.

$$x=\frac{5}{2\times 2}$$

Multiply 2 and 2 to get 4.

$$x=\frac{5}{4}$$