Solve 3x+2/3=17/6

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

Solve for x

$$x = \frac{13}{6} = 2\frac{1}{6} \approx 2.166666667$$

Steps for Solving Linear Equation

Multiply both sides by 3.

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

Express \frac{17}{6}\times 3 as a single fraction.

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

Multiply 17 and 3 to get 51.

$$3x+2=\frac{51}{6}$$

Reduce the fraction \frac{51}{6} to lowest terms by extracting and canceling out 3.

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

Subtract 2 from both sides.

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

Convert 2 to fraction \frac{4}{2}.

$$3x=\frac{17}{2}-\frac{4}{2}$$

Since \frac{17}{2} and \frac{4}{2} have the same denominator, subtract them by subtracting their numerators.

$$3x=\frac{17-4}{2}$$

Subtract 4 from 17 to get 13.

$$3x=\frac{13}{2}$$

Divide both sides by 3.

$$x=\frac{\frac{13}{2}}{3}$$

Express \frac{\frac{13}{2}}{3} as a single fraction.

$$x=\frac{13}{2\times 3}$$

Multiply 2 and 3 to get 6.

$$x=\frac{13}{6}$$