Solve 3x-8/13=6

$$3 x - \frac { 8 } { 13 } = 6$$

Solve for x

$$x = \frac{86}{39} = 2\frac{8}{39} \approx 2.205128205$$

Steps for Solving Linear Equation

Add \frac{8}{13} to both sides.

$$3x=6+\frac{8}{13}$$

Convert 6 to fraction \frac{78}{13}.

$$3x=\frac{78}{13}+\frac{8}{13}$$

Since \frac{78}{13} and \frac{8}{13} have the same denominator, add them by adding their numerators.

$$3x=\frac{78+8}{13}$$

Add 78 and 8 to get 86.

$$3x=\frac{86}{13}$$

Divide both sides by 3.

$$x=\frac{\frac{86}{13}}{3}$$

Express \frac{\frac{86}{13}}{3} as a single fraction.

$$x=\frac{86}{13\times 3}$$

Multiply 13 and 3 to get 39.

$$x=\frac{86}{39}$$