Solve 6-1/6x=5/6

$$6- \frac{ 1 }{ 6 } x= \frac{ 5 }{ 6 }$$

Solve for x

$$x=31$$

Steps for Solving Linear Equation

Subtract 6 from both sides.

$$-\frac{1}{6}x=\frac{5}{6}-6$$

Convert 6 to fraction \frac{36}{6}.

$$-\frac{1}{6}x=\frac{5}{6}-\frac{36}{6}$$

Since \frac{5}{6} and \frac{36}{6} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{1}{6}x=\frac{5-36}{6}$$

Subtract 36 from 5 to get -31.

$$-\frac{1}{6}x=-\frac{31}{6}$$

Multiply both sides by -6, the reciprocal of -\frac{1}{6}.

$$x=-\frac{31}{6}\left(-6\right)$$

Express -\frac{31}{6}\left(-6\right) as a single fraction.

$$x=\frac{-31\left(-6\right)}{6}$$

Multiply -31 and -6 to get 186.

$$x=\frac{186}{6}$$

Divide 186 by 6 to get 31.

$$x=31$$